Distribution Inequalities

What inequality does the number line represent?

• x ≥ 3

• x > 3

• x < -3

• x ≤ 3

What is the first step to solving this inequality?

6(4x + 6) > 60

• Subtract 6 from Both Sides

• Divide both Sides by 4

• Combine Like Terms

• Distribute

Solve the inequality.

6(4x + 6) > 60

• x > 6

• x < 6

• x > 1

• x < 1

Solve the inequality.

-4(x + 7) > 28

• x > -14

• x < -14

• x > 0

• x < 0

Write the inequality of the graph given. (Slope intercept form)

Mathematical Equivalence

ON

A university will spend at most $4,500 to buy monitors and keyboards for a computer lab. Each monitor will cost $250 and each keyboard will cost $50. Write an inequality that represents all possible combinations of x, the number of monitors and y, the number of keyboards.

• 150

• 50

• 4,500

• 200

Tags

A.2(H)

Distribute and solve:

-2(x+2) < 14

• x < - 5

• x > -5

• x < -9

• x > -9

At most and No more than are both clue words for...

• <

• >

• ≤

• ≥

Fewer Than

• <

• >

• ≤

• ≥

At Least

• <

• >

• ≤

• ≥