Question

Find the range of values of X which satisfy -1/3≤ X/2-4/3<1/6, X belongs to R.
Graph it on a real number line.

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Answer 1

Answer:

x ∈[2, 3]

Step-by-step explanation:

$- \frac{1}{3} \leqslant \frac{x}{2} - \frac{4}{3} \leqslant \frac{1}{6}$

$or \: \frac{4}{3} - \frac{1}{3} \leqslant \frac{x}{2} \leqslant \frac{4}{3} + \frac{1}{6}$

$or \: \frac{4 - 1}{3} \leqslant \frac{x}{2} \leqslant \frac{8 + 1}{6}$

$or \: 1 \leqslant \frac{x}{2} \leqslant \frac{3}{2}$

$or \: 2 \leqslant x \leqslant 3$

Therefore x ∈[2, 3]

The graph is attached.

Answer 2

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