Given x- real-numbers -find the range of value of x for which-5-2x-3-x-2 and represent it on a real number line-

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Representation of Solutions on a Number Line

Given x∈ real...

Question

Given $x \in {r e a l n u m b e r s}, find the range of value of x for which - 5 \leq 2 x - 3 < x + 2$ and represent it on a real number line.

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x \in

- 1 < 3 - 2 x \leq 7

\frac{1}{2} (2 x - 1) \leq 2 x + \frac{1}{2} \leq 5 \frac{1}{2} + x

Use real number line to find the range of values of x for which :

(i) $x > 3 a n d 0 < x < 6.$

(ii) $x < 0 a n d - 3 \leq x < 1.$

(iii) $- 1 < x \leq 6 a n d - 2 \leq x \leq 3$

x + 3 \leq 2 x + 9

Find the range to values of x, which satisfies and represent it on the number line.

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