Find the value of x for $ \frac{2+2x}{3}-2\geq\frac{4x-6}{5} $

Assessment: JAMB UTME - Mathematics - 2019 Subject: General Mathematics

Question 1 Report

x

\geq

-5

x

\geq

-1

x

\leq

-1

x

\leq

3

Answer Details

$\frac{2 + 2 x}{3} - 2 \geq \frac{4 x - 6}{5}$
$\frac{2 + 2 x - 6}{3} \geq \frac{4 x - 6}{5}$
$\frac{2 x - 4}{3} \geq \frac{4 x - 6}{5}$
$5 (2 x - 4) \geq 3 (4 x - 6)$
$10 x - 20 \geq 12 x - 18$
$10 x - 12 x \geq - 18 + 20$
$- 2 x \geq 2$
$x \leq - 1$