Question

What is the solution to this inequality?

−4x − 8 > −20
Question 7 options:

x > −3

x < −3

x > 3

x <3

Answer 1

Option D.

Why is this the case, though?

These equations prove it true.

`-4 * 2 - 8 = -16 > -20`

`-4 * 1 - 8 = -12 > -20`

The only reason these two equations are correct, is because on the number line it shows: Any negative number further to the right than the last negative number is greater than that number.

Black dot is the main point, Blue dot is solution 1, and Red dot is solution 2

Answer 2

• 
  `\boxed{\sf{D. \quad x < 3}}`

Explanation:

It is necessary to isolate the term of x from one side of an inequality to find its solution.

-4x-8>-20

First, add by 8 from both sides.

`\sf{-4x-8+8 > -20+8}`

Solve.

-20+8=-12

Rewrite the problem down.

`\sf{-4x > -12}`

Multiply by -1 from both sides.

(-4x)(-1)<(-12)(-1)

Solve.

Multiply the numbers from left to right.

(-12)(-1)=12

4x<12

Divide by 4 from both sides.

4x/4<12/4

Solve.

Divide the numbers from left to right.

12/4=3

x<3

• Therefore, the correct answer is D. x<3 (last option).

I hope this helps you! Let me know if my answer is wrong or not.