If the replacement set is {-3, -2, -1, 0, 1, 2, 3}, solve the inequation {(3x – 1) / 2} < 2. Represent its solution

Question

If the replacement set is {-3, -2, -1, 0, 1, 2, 3}, solve the inequation \(\dfrac {(3x – 1) }{2} < 2\). Represent its solution on the number line.

Asked by Aaryan | 9 months ago | 99

0 0

Class 8 Maths Linear Equations in One Variable Add Answer

Solve the inequations and graph their solutions on a number line – 1 < (\( \dfrac{x}{2}\)) + 1 ≤ 3, x ε l

Solve (\( \dfrac{x}{3}\)) + (\( \dfrac{1}{4}\)) < (\( \dfrac{x}{6}\)) + (\( \dfrac{1}{2}\)), x ε W. Also represent its solution on the number line.

Solve the inequations (\( \dfrac{3}{2}\)) – (\( \dfrac{x}{2}\)) > – 1, x ε N

Accepted Answer

Given

Replacement set = {-3, -2, -1, 0, 1, 2, 3} and

Inequation =\( \dfrac{(3x – 1) }{2} < 2\)

3x – 1 < 2 × 2

3x – 1 < 4

3x < 4 + 1

3x < 5

We get,

x < \(\dfrac{ 5 }{ 3}\)

Therefore, solution set = {…-3, -2, -1, 0, 1}

Graphical representation of this solution set is as follows:

Answered by Sakshi | 9 months ago