Inequality and Compound Inequalities

Write an inequality for Graph 1.

• x < -2 AND x > 5

• x < -2 OR x > 5

• x > -2 OR x < 5

• -2 < x < 5

Your taxi fare is $2.50 per mile, plus a $5 fee. You have a budget of $20. Which inequality models this scenario?

• 5x + 2.50 ≤ 20

• 2.50x + 5 < 20

• 2.50x + 5 ≤ 20

• 7.50x < 20

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food.  You can spend at most $25.  Which inequality models this scenario?

• 2x + 10 ≥ 25

• 2x + 10 > 20

• 2x + 10 ≤ 25

• 2x + 10 < 25

• x ≤ 3 and x > -2

• x < -2 or x ≥ 3

• x > -2 or x < 3

• x < 3 and x ≥ -2

Less than:

• ≥

• ≤

• <

• >

Less than or equal to:

• ≤

• <

• >

• ≥

Greater than or equal to:

• <

• ≤

• ≥

• >

Greater than

• <

• >

• ≥

• ≤

• A

• B

• C

• D

-2 < x - 9 < 3

• x < 12

• 7 < x

• 7 < x < 12