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Given X ∈ {Real Numbers}, Find the Range of Values of X for Which -5 ≤ 2x – 3 < X + 2 and Represent It on a Number Line. - Mathematics

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Question

Given x ∈ {real numbers}, find the range of values of x for which -5 ≤ 2x – 3 < x + 2 and represent it on a number line.

Solution

-5 ≤ 2x – 3 < x + 2

-5 ≤ 2x – 3 and 2x – 3 < x + 2

-2 ≤ 2x and x < 5

-1 ≤ x and x < 5

Required range is -1 ≤ x < 5.

The required graph is:

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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 4: Linear Inequations (In one variable)
Exercise 4(B) | Q: 9 | Page no. 49
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Given X ∈ {Real Numbers}, Find the Range of Values of X for Which -5 ≤ 2x – 3 < X + 2 and Represent It on a Number Line. Concept: Linear Inequations in One Variable.
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