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Find the range of values of x which satisfy the inequalit...

Find the range of values of x which satisfy the inequalities 4x - 7 $\leq$ 3x and 3x - 4 $\leq$ 4x

A.

-4 $\leq$ x $\leq$ 7

B.

-7 $\leq$ x $\leq$ 4

C.

x $\geq$ -7

D.

-7 $\leq$ x $\leq$ 6

View answer & explanation

Correct answer is A

4X - 7 $\leq$ 3X and 3X - 4 $\leq$ 4X
4X - 3X $\leq$ 7 and 3X - 4X $\leq$ 4
X $\leq$ 7 and -X $\leq$ 4 = X $\geq$ -4
Range -4 $\leq$ x $\leq$ 7

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