Solve 58 - 10x ≤ 20 + 9x

Question

asked May 25, 2018 198k views

2 Answers

Janeen · Answer 1 · 2018-05-31T20:13:42+0000

Answer:
$x\geq(38)/(9)$

Explanation:

The given inequality :
$58 - 10x \leq 20 + 9x$

To solve the given inequality , we first add 10x on both the sides , we get

$58-10x+10x\leq20+9x+10x\\\\\Rightarrow\ 58\leq20+19x$

Subtract 20 on both the sides , we get

$58-20\leq20+9x-20\\\\\Rightarrow\ 38\leq9x\text{ or }9x\geq38$

Then, divide 9 on both sides , we get

$x\geq(38)/(9)$

Hence, the solution of the given inequality will be
$x\geq(38)/(9)$