Over Lesson 5–3 A.A B.B C.C D.D 5-Minute Check 1 Write an inequality for the sentence. A number decreased by 7 is at most 9. Write an inequality for the sentence. There are more than 500 students (s) at Candlewood Middle School. What inequality represents the graph?

Splash Screen

Then/Now You have already used the Properties of Equality to solve equations. (Lessons 4–3 and 4–4) Solve inequalities with Addition and Subtraction. Solve inequalities with Multiplication and Division (tomorrow).

To solve inequalities, first pretend they are equal. This will allow you to use your previously learned algebra skills. After you have completed the problem as if it were equal, we graph the critical point (what it is “equal to”) and make sure we make either an open circle or closed circle (depending on the inequality) Test values using the original inequality and write the inequality the graph represents. So you want to solve inequalities? Maybe you’re crazy!…lol

Example 1 Solve an Inequality Solve y + 5 > 11. y + 5>11Write the inequality. y + 5 = 11Pretend it is equal Subtract 5 from both sides. y = 6This is our critical point (graph it) 0 6 Answer: The solution is y > 6. Test values to the left and right of 6. Plug in 0 into the original inequality. Does it work? Try 7 into the original inequality. Does it work? Now shade!

Example 1 Solve an Inequality Solve y - 3 ≤ -2. y - 3≤-2Write the inequality. y - 3 = -2Pretend it is equal Add 3 to both sides. y = 1This is our critical point (graph it) 0 1 Answer: The solution is y ≤ 1. Test values to the left and right of 1. Plug in 0 into the original inequality. Does it work? Try 3 into the original inequality. Does it work? Now shade!

Example 1 Solve an Inequality Solve y - 5 > -9. y - 5>-9Write the inequality. y - 5 = -9Pretend it is equal Add 5 from both sides. y = -4This is our critical point (graph it) -4 0 Answer: The solution is y > -4. Test values to the left and right of -4. Plug in -5 into the original inequality. Does it work? Try 0 into the original inequality. Does it work? Now shade!

Example 1 Solve an Inequality Solve y + 6 ≥ 6. y + 6≥ 6Write the inequality. y + 6 = 6Pretend it is equal Subtract 6 from both sides. y = 0This is our critical point (graph it) 0 Answer: The solution is y ≥ 0. Test values to the left and right of 0. Plug in -1 into the original inequality. Does it work? Try 2 into the original inequality. Does it work? Now shade!

A.A B.B C.C D.D Example 1 A.x < 22 B.x < 4 C.x < –4 D.x > 4 Solve x + 9 < 13.

A.A B.B C.C D.D Example 2 Solve Graph the solution on a number line. A. B. C. D. ; ; ; ;

Let’s do some practice at our seats with this worksheet I am about to handout!