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slamgirl [31]
2 years ago
9

What is the solution to this inequality?

Mathematics
2 answers:
Sedbober [7]2 years ago
8 0

Answer:

Option D.

<h3>Why is this the case, though?</h3>

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.

<em>Black dot is the main point, Blue dot is solution 1, and Red dot is solution 2</em>

Snezhnost [94]2 years ago
5 0

Answer:

  • \boxed{\sf{D. \quad x < 3}}

Step-by-step explanation:

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

<h3>-4x-8>-20</h3>

<u>First, add by 8 from both sides.</u>

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

<u>Solve.</u>

-20+8=-12

<u>Rewrite the problem down.</u>

\sf{-4x > -12}

<u>Multiply by -1 from both sides.</u>

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

<u>Solve.</u>

<u>Multiply the numbers from left to right.</u>

(-12)(-1)=12

4x<12

<u>Divide by 4 from both sides.</u>

4x/4<12/4

<u>Solve.</u>


<u>Divide the numbers from left to right.</u>

12/4=3

<u>x<3</u>

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

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

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