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

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Joined: 18 Apr 2015
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Kudos [?]: 1156 [0], given: 5481

Which of the following could be the graph of all values of x [#permalink]  10 Aug 2018, 10:34
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Question Stats:

72% (01:20) correct 27% (02:18) wrong based on 11 sessions
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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lines.jpg [ 31.99 KiB | Viewed 451 times ]
[Reveal] Spoiler: OA

_________________
Intern
Joined: 10 Aug 2018
Posts: 33
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Kudos [?]: 13 [1] , given: 0

Re: Which of the following could be the graph of all values of x [#permalink]  11 Aug 2018, 12:12
1
KUDOS
This is a simple case of solving the inequality:

4–11x ≥ (−2x+32)/2

Multiply both sides by 2

8 - 22x ≥ −2x+32

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.
Intern
Joined: 08 Dec 2018
Posts: 8
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Kudos [?]: 6 [1] , given: 2

Re: Which of the following could be the graph of all values of x [#permalink]  18 Mar 2019, 03:32
1
KUDOS
4–11x≥(−2x+3)/2
8-22x≥-2x+3
5≥20x
1/4≥x

X is less than 0.25, option A is correct
Re: Which of the following could be the graph of all values of x   [#permalink] 18 Mar 2019, 03:32
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