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# Which of the following could be the graph of all values of x

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Which of the following could be the graph of all values of x [#permalink]  10 Aug 2018, 10:34
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Which of the following could be the graph of all values of x that satisfy the inequality $$4 – 11x ≥ \frac{-2x+3}{2}$$ ?

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[Reveal] Spoiler: OA

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Re: Which of the following could be the graph of all values of x [#permalink]  11 Aug 2018, 12:12
This is a simple case of solving the inequality:

4–11x ≥ (−2x+32)/2

Multiply both sides by 2

8 - 22x ≥ −2x+32

Add both sides by 22x

8 ≥ 20x+32

Subtract 32 from both sides

-24 ≥ 20x

Divide both sides by 20

-6/5 ≥ x

So x is less than or equal to some negative number. The only graph that fulfills this requirement is A.
Re: Which of the following could be the graph of all values of x   [#permalink] 11 Aug 2018, 12:12
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# Which of the following could be the graph of all values of x

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