Download presentation

Published byCody Richard Modified over 6 years ago

1
**SOLVING INEQUALITIES Final Answer Step 1: Subtract 5 from both sides**

Step 2: Make a Clean Sweep Since -9 and -5 have the same sign, add their absolute values. +5 – 5 equals 0, leaving “x” all by itself=) Since the numbers are both negative, the answer is negative. Final Answer

2
**SOLVING INEQUALITIES Final Answer Step 1: Divide both sides by -5**

Divide by -5 because: -5 and x are involved in multiplying… The opposite of multiplying is dividing Step 2: Make sure to change inequality sign Change inequality sign whenever MULTIPLYING OR DIVIDING by a NEGATIVE number=) Step 3: Make a Clean Sweep When dividing a negative number by a negative number, the answer is positive. The -5’s divide out, leaving “x” by itself. Final Answer

3
**The 7’s divide out, leaving “x” by itself.**

SOLVING INEQUALITIES Multiply both sides by 7 because: 7 and b are involved in division… The opposite of dividing is multiplying. Step 1: Multiply both sides by 7 Step 2: Make a Clean Sweep A negative times a positive equals a negative so -4 times 7 is -28. The 7’s divide out, leaving “x” by itself. Final Answer

4
**The -4’s divide out, leaving “x” by itself.**

SOLVING INEQUALITIES Step 1: Multiply both sides by -4 Multiply both sides by – 4 because: -4 and w are involved in division… The opposite of dividing is multiplying Step 2: Make sure to change inequality sign Change inequality sign whenever MULTIPLYING OR DIVIDING by a NEGATIVE number=) Step 3: Make a Clean Sweep A positive times a negative equals a negative. 8 times -4 is -32. The -4’s divide out, leaving “x” by itself. Final Answer

5
**SOLVING INEQUALITIES Final Answer Step 1: Subtract 2 from both sides**

Perform adding and subtracting first when solving 2-step inequalities=) +2 -2 =0, leaving “4c” by itself. 30 – 2 = 28 Subtract 2 from both sides because: 2 is involved addition and the opposite of adding is subtracting=) Step 2: Divide both sides by 4 Divide by 4 because: 4 and c are involved in multiplying… The opposite of multiplying is dividing Step 3: Make a Clean Sweep 28 divided by 4 equals 7. Final Answer The 4’s divide out, leaving “c” by itself.

6
**SOLVING INEQUALITIES Final Answer Step 1: Add 9 to both sides**

Perform adding and subtracting first when solving 2-step inequalities=) -9 +9 =0, leaving “-3d” by itself. = 21 Add 9 to both sides because: 9 is involved subtraction and the opposite of subtracting is adding=) Change inequality sign whenever MULTIPLYING OR DIVIDING by a NEGATIVE number=) Step 2: Divide both sides by -3 Divide by -3 because: -3 and d are involved in multiplying… The opposite of multiplying is dividing Step 3: Make a Clean Sweep A positive divided by a negative equals a negative 21 divided by -3 equals -7. Final Answer The -3’s divide out, leaving “d” by itself.

7
**The -4’s divide out, leaving “y” by itself.**

SOLVING INEQUALITIES Step 1: Combine Like Terms 3y and -7y are like terms. Since 3y and -7y have opposite signs, we subtract the coefficients. (3 and -7 are the coefficients) The answer keeps the sign of the integer with the larger absolute value Add 1 to both sides because: 1 is involved subtraction and the opposite of subtracting is adding=) Step 2: Add 1 to Both Sides =32 -1 +1 =0, leaving “-4y” by itself. We change inequality sign whenever we MULTIPLY OR DIVIDE by a NEGATIVE number=) Step 3:Divide by 4 & Make a Clean Sweep A positive divided by a negative equals a negative. 32 divided by -4 equals -8. The -4’s divide out, leaving “y” by itself. Final Answer

8
**The 10’s divide out, leaving “a” by itself.**

SOLVING INEQUALITIES Step 1: Combine Like Terms 9 and 1 are both integers so we add them =10 8a and 2a are like terms so we add the coefficients =10 Step 2: Divide both sides by 10 Divide by 10 because: 10 and a are involved in multiplying… The opposite of multiplying is dividing Step 3: Make a Clean Sweep 10 divided by 10 equals 1. The 10’s divide out, leaving “a” by itself. Final Answer

9
**SOLVING INEQUALITIES Final Answer Step 1: Subtract 2 from both sides**

Perform adding and subtracting first when solving 2-step inequalities=) Step 1: Subtract 2 from both sides Since -7 and -2 have the same sign, add their absolute values. =0, leaving “x/6” by itself. Since the numbers are both negative, the answer is negative. Multiply by 6 because: 6 and x are involved in dividing… The opposite of dividing is multiplying Step 2: Multiply both sides by 6 Step 3: Make a Clean Sweep A negative times a positive equals a negative. -9 times 6 = -54 6 divided by 6 is 1. 1x=x Final Answer

10
**-5 + 5 =0, leaving “x/-4” by itself.**

SOLVING INEQUALITIES Perform adding and subtracting first when solving 2-step inequalities=) Step 1: Add 5 to both sides 5 + 5 = 10 =0, leaving “x/-4” by itself. Multiply by -4 because: -4 and x are involved in dividing… The opposite of dividing is multiplying Step 2: Multiply both sides by -4 Step 3: Make a Clean Sweep We change inequality sign whenever we MULTIPLY OR DIVIDE by a NEGATIVE number=) A positive times a negative equals a negative. 10 times -4 = -40 4 divided by 4 is 1. 1x=x Final Answer

11
**SOLVING INEQUALITIES Final Answer Step 2: Subtract 5 from both sides.**

Step 1: Distribute the negative sign to each term inside the parenthesis. Another way to write the negative sign is as a -1=) Step 2: Subtract 5 from both sides. = 10 =0, leaving “-1b” by itself. Step 3: Divide both Sides by -1 We change inequality sign whenever we MULTIPLY OR DIVIDE by a NEGATIVE number=) Step 4: Make a Clean Sweep A positive divided by a negative equals a negative. 10 divided by -1 equals -10 The -1’s divide out, leaving “b” by itself. Final Answer

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google