2 years ago

-36x - 24 ≤ -6(5x + 12)

Mathematics

1 answer:

puteri [66]2 years ago

6 0

Answer:

x ≥ 8

General Formulas and Concepts:

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

<u>Step 1: Define inequality</u>

-36x - 24 ≤ -6(5x + 12)

<u>Step 2: Solve for </u><em><u>x</u></em>

Distribute -6: -36x - 24 ≤ -30x - 72
Add 36 on both sides: -24 ≤ 6x - 72
Add 72 on both sides: 48 ≤ 6x
Divide both sides by 6: 8 ≤ x
Rewrite: x ≥ 8

Here we see that any number <em>x</em> greater than or equal to 8 would work as a solution.

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-36x - 24 ≤ -6(5x + 12)​

-36x - 24 ≤ -6(5x + 12)