1. WARM UP Working with your partner, group the following word phrases with their corresponding inequality symbol. (<, >, ≤, ≥)
No more than
Greater than
At least
Fewer than
Less than or equal to
Greater than or equal to
Less than
At most
More than
No less than

2. Inequalities
Book Section 1-5 (DAY 1)

3. Objective 1: Write an inequality from a sentence.
WORDS
GRAPH
𝑥>4
greater than
more than
𝑥≥4
greater than or equal to
no less than
at least
𝑥<4
less than
fewer than
𝑥≤4
less than or equal to
no more than
at most

4. Objective 1: Write an inequality from a sentence.
Translate the words to algebra:
5 fewer than a number is at least 12.
The product of 7 and a number is no more than 50.

5. Objective 2: Solve and graph inequalities.
Almost exactly the same as solving equations!
Carry down the inequality symbol.
FLIP the symbol when multiplying or dividing by a negative number on both sides.
Remember: 3 < 5 BUT -3 > -5

6. Objective 2: Solve and graph inequalities.
4. You Try: 4 𝑥−7 >20

7. Objective 3: Write and solve inequalities to represent problems.
1. Define the variable
Usually to ANSWER THE QUESTION!
2. Write the inequality
Translate what you know
3. Solve and interpret
Does it make sense?

8. Objective 3: Write and solve inequalities to represent problems.
5. Plumber A charges $75 for a service charge and $40 per hour. Plumber B charges $50 per hour but no service charge. How many hours must a plumbing job last for Plumber A to cost less than Plumber B?

9. EXIT SLIP 1. Translate to algebra: 2. Solve and graph: −3 2𝑥−5 +1≥4
“the quotient of a number and 2 is no less than 3”
2. Solve and graph:
−3 2𝑥−5 +1≥4