Question

Which are correct representation of the inequality minus 32X -5 less than 52 minus X select two options

Answer 1

The value of X is more than equal to -1.83.

Explanation:

We need to find the correct representation of the inequality 'minus 32X -5 less than 52 minus X'

LHS of the inequality will be : -32x-5

RHS of the inequality will be : (52-X)

So,

`-32X-5\leq 52-X`

Adding X both sides

`-32X-5+X\leq 52-X+X\\\\-31X-5\leq 52`

Adding 5 to both sides,

`-31X-5+5\leq 52+5\\\\-31X\leq 57`

Dividing both sides by -31.

`X\geq (-57)/(31)\\\\X\geq -1.83`

So, the value of X is more than equal to -1.83.