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

Respuesta :

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.