Question

Which inequality has -12 in its solution set?

A
B
C
D

graph is above ^^

Answer 1

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Explanation:

Answer 2

Option D.
`x+5\leq -4`

Explanation:

Verify each case

case A) we have

`x+6< -8`

Solve for x

Subtract 6 both sides

`x< -8-6`

`x< -14`

The solution is the interval -----> (-∞,-14)

therefore

This inequality does not have -12 in its solution

case B) we have

`x+4\geq -6`

Solve for x

Subtract 4 both sides

`x\geq -6-4`

`x\geq -10`

The solution is the interval -----> (-10,∞)

therefore

This inequality does not have -12 in its solution

case C) we have

`x-3 > -10`

Solve for x

Adds 3 both sides

`x > -10+3`

`x > -7`

The solution is the interval -----> (-7,∞)

therefore

This inequality does not have -12 in its solution

case D) we have

`x+5\leq -4`

Solve for x

Subtract 5 both sides

`x\leq -4-5`

`x\leq -9`

The solution is the interval -----> (-∞,-9)

therefore

This inequality has -12 in its solution