Question

Solve for x: -2x - 4 > 8

a) x < -6
b) x > 12
c) x > 6
d) x < 12

Answer 1

To solve the inequality -2x - 4 > 8, you can add 4 to both sides of the inequality and the divide both sides by -2. The solution of -2x - 4 > 8 is x < -6, which corresponds to option a) x < -6

Step-by-step explanation:

To solve the inequality -2x - 4 > 8, follow these steps:

1. Add 4 to both sides of the inequality:

-2x - 4 + 4 > 8 + 4

-2x > 12

2. Divide both sides by -2. Remember that when you divide or multiply both sides of an inequality by a negative number, the inequality sign flips:

`(-2x)/(-2)` <
`(12)/(-2)`

x < -6

So, the correct solution is x < -6, which corresponds to option:

a) x < -6

Therefore, option a) is the correct answer.