Question

Solve for x in the following inequality: 3(-2x - 4) > 18

Answer 1

x < -5

Explanation:

3 ( -2x - 4 ) > 18

→ Expand the brackets

-6x - 12 > 18

→ Add 12 to both sides

-6x > 30

→ Divide both sides by -6

x < -5

Answer 2

`\boxed {\boxed {\sf x< -5}}`

Explanation:

We are asked to solve the following inequality for x.

`3(-2x-4) > 18`

Solve for x by isolating it and performing the inverse operations.

3 is being multiplied by (-2x-4). The inverse operation of multiplication is division. Divide both sides of the inequality by 3.

`\frac {3(-2x-4)}{3} > (18)/(3)`

`(-2x-4) > (18)/(3)`

`-2x-4 > 6`

4 is being subtracted from -2x. The inverse operation of subtraction is addition. Add 4 to both sides of the inequality.

`-2x-4+4 > 6+4 \\`

`-2x > 10`

x is being multiplied by -2. The inverse operation of multiplication is division. Divide both sides by -2.

`\frac {-2x}{-2} > \frac {10}{-2}`

`x> \frac {10}{-2}`

Since we divided by a negative number, the inequality sign must be flipped.

`x< (10)/(-2)`

`x < -5`