Answer:
The value of X is more than equal to -1.83.
Step-by-step 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,
[tex]-32X-5\leq 52-X[/tex]
Adding X both sides
[tex]-32X-5+X\leq 52-X+X\\\\-31X-5\leq 52[/tex]
Adding 5 to both sides,
[tex]-31X-5+5\leq 52+5\\\\-31X\leq 57[/tex]
Dividing both sides by -31.
[tex]X\geq \dfrac{-57}{31}\\\\X\geq -1.83[/tex]
So, the value of X is more than equal to -1.83.