Solving Inequalities and Number Line

x - 4 > 5

• x < 9

• x > 1

• x ≥ 9 

• x > 9

-2(x + 2) < 14

• x < - 5

• x < -9

• x > -9

• x > -5

Solve the inequality.

-8k - 4 ≤ -60

• k < 7

• k ≥ 7

• k ≤ 7

• k > 7

Write an inequality for this situation:

You are driving, and the maximum speed limit is 55.

• s ≤ 55

• s < 55

• s > 55

• s ≥ 55

8x ≥ -32

• x ≤ -4

• x ≥ 4

• x ≥ 2

• x ≥ -4

Which is the solution of -4 - 6m > -9m + 8?

• m < -4

• m < 15

• m > 4

• m > 36

Which number line shows all the values of x that makes the inequality true?

• a

• b

• c

• d

Lin got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to buy some songs. Each song costs $1.29. Which of these inequalities describes this situation, where n is the number of songs Lin wants to buy?

• 9.99+1.29n≥50

• 9.99+1.29n≤50

• 9.99−1.29n≥50

• 9.99−1.29n≤50

The answer to this inequality 5 − 2t < -4 is t > 9/2

Why does the inequality change from the less than symbol to the greater than symbol.

• I will divide by a negative 2.

• I will multiply by a negative 2.

• I will add negative 2.

• I don't know; I am negative.

Solve for t.

6t + 4 ≤ -2

• t ≤ -1 

• t ≤ 1

• t=1

• 1=t