Solve the following inequation and represent the solution set on the number line :
$4 x - 19 < \frac{3 x}{5} - 2 \leq \frac{- 2}{5} + x, x ϵ R$
[3 MARKS]

Open in App

Solution

Solving each equation: 1 Mark each
Solution on graph: 1 Mark

$4 x - 19 < \frac{3 x - 10}{5}; \frac{3 x - 10}{5} \leq \frac{- 2 + 5 x}{5} \Rightarrow 20 x - 95 < 3 x - 10; 3 x - 10 \leq - 2 + 5 x \Rightarrow 17 x < 85; - 8 \leq 2 x \Rightarrow x < 5; - 4 \leq x ∴ {- 4 \leq x < 5, x ϵ R}$

Suggest Corrections

Similar questions

4 x - 19 < \frac{3 x}{5} - 2 \leq - \frac{2}{5} + x, x \in R

- 3 < - \frac{1}{2} - \frac{2 x}{3} \leq \frac{5}{6}, x ϵ R

13 x - 5 < 15 x + 4 < 7 x + 12, x ϵ R

- 2 \frac{2}{3} \leq x + \frac{1}{3} < 3 \frac{1}{3}, x ϵ R

- 8 \frac{1}{2} < - \frac{1}{2} - 4 x \leq 7 \frac{1}{2}, x \in 1

Join BYJU'S Learning Program