Question

Four more than twice a number is less than negative fourteen. Solve the inequality for the unknown number. Solve the inequality for the unknown number.

Answer 1

x < -9

Explanation:

2x + 4 < -14

Solve for "x"

Subtract 4 from both sides

2x + 4 < -14

2x + 4 - 4 < -14 - 4

Simplify

Subtract all the numbers

2x + 4 - 4 < -14 - 4

2x < -14 - 4

2x < -18

Divide both sides by the same factor

2x < -18

`(2x)/(2)` <
`(-18)/(2)`

Simplify

Cancel the terms that are in both numerator and denominator

`(2x)/(2)` <
`(-18)/(2)`

x <
`(-18)/(2)`

Divide

`x < (-18)/(2)\\ x < -9`

The answer is
`x < -9`