Solving Inequalities #2

10 ≥ x - 3

• x ≤ 13
• x ≥ 13
• x ≤ 7
• x ≥ 7

What inequality does the number line graph represent?

• x ≤ 4
• x ≥ -4
• x < -4
• x < 4

What inequality does the number line graph represent?

• -x + 4 ≥ -1
• -2x + 3 > -7
• -x + 1 < -4
• 2x + 3 ≥ 13

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

• 1.75n + 0.75 ≥ 20
• 1.75n + 0.75 ≤ 20
• 0.75n + 1.75 ≥ 20
• 0.75n + 1.75 ≤ 20

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

• 30x + 600 > 1,500
• 30x + 600 ≥ 1,500
• 30x + 600 < 1,500
• 30x + 600 < 1,500

hint: move 11 first

• x ≤ 12

• x ≥ 12

• x ≥ 14

• x ≥ 23

Solve

-2(x + 2) < 14

• x < - 5

• x > -5

• x < -9

• x > -9

6(n + 2) < -72

• n < -14
• n < 35/3
• n < -10
• ∞

-2(1 - x) - 2 > - 8 - 2x

• x > 3

• x > - 1

• x > 2

• x > - 2

• x > 4

-4(5x + 3) - 6x > 11 - 3x

• x < -1

• x < -7

• x < 5

• x > 4

• x > 3