Answers to Inequalities

Which numbers are possible solutions to the inequality... (SELECT ALL THAT APPLY)

x+6x≤2(2+3x)

• 4

• 100

• 5

• 0

• -100

What inequality does the number line graph represent?

• x > 5

• x < −5

• x ≥ 5

• x ≥ −5

Solve:
8m - 9 > 71

• m > 10

• m > 1

• m < 1

• m > -48

Does the given value make the inequality true? x + 9 > 21, when x = 15

• True

• Not True

Solve:
7(x + 3) < 5x + 13

• x>-4

• x < 17

• x<-4

• x > -17

A limo driver needs to make more than $450 in one day.  He charges a rental fee of $375 and $0.85 per mile.  What inequality represents the number of miles, x, he would have to drive to reach his goal?

• 0.85x + 375 > 450

• 0.85x + 375 < 450

• 0.85 + 375x > 450

• 0.85 + 375x < 450

x + 5 > 7

• x > -2

• x > 2

• x > 12

• x > -12

You flip an inequality symbol when you...

• subtract

• multiply and divide only

• multiple by a negative number

• multiple or divide by a negative number

-8x < 48

• x < -6

• x > -6

• x < 6

• x > 6

Translate: 5 times a number is at least 60.

• 5x < 60

• 5x > 60

• 5x ≤ 60

• 5x ≥ 60