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Vlada [557]
2 years ago
7

What value of x is in the solution set of 9(2x + 1) < 9x - 18? -4 -3 -2 -1

Mathematics
2 answers:
Anastaziya [24]2 years ago
8 0

Answer:

The only possible answer that is correct is the first one, x = -4.

Step-by-step explanation:

Simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.

9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.

Simplifying further, we get x < - 3.  The only possible answer that is correct is the first one, x = -4.  -4 < -3 is true.

Natali5045456 [20]2 years ago
3 0

Step-by-step explanation:

<h2>9(2x + 1)<9x - 18</h2><h2>18x + 9 < 9x - 18</h2><h2>18x - 9x < - 18 - 9</h2><h2>9x < 27</h2><h2>x = 27/9</h2><h2><em><u>x </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>.</u></em></h2>
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