Question

Linear inequatio
Solve the following inequations and represent the solution on number line.
–3<–1/2–2x/3<5/6, x€R

Answer 1

Answer:

Linear

Step-by-step explanation:

Solve the following inequations and represent the solution on number line.

–3<–1/2–2x/3<5/6, x€R

Answer 2

Given →

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

Taking L.C.M. of 3,2 and 6 is 6.

$- \frac{x}{3} \times 6 \leqslant \frac{x}{2} \times 6 - \frac{4}{3} \times 6 < \frac{1}{6} \times 6 \\ - 2x \leqslant 3x - 8 < 1 \\ - 2x \leqslant 3x - 8 \: and \: 3x - 8 < 1 \\ 8 \leqslant 3x + 2x = 3x < 1 + 8 \\ 8 \leqslant 5x = 3x < 9 \\ \frac{8}{5} \leqslant x = x < 3$

→ The solution set is

$(x is \: to \: 1.6 \leqslant x \leqslant 3 \: xer \: )$