Question

Given the equation 5+x-12=x-7:

Answer 1

(-∞,∞)

Step-by-step explanation:

PART A:

given $5+x-12=x-7$

$5+x-12=x-7\\x-7=x-7\\x=x$

This is true for all values of x.

So,x∈$($-∞,+∞$)$

PART B:

When $x=4$,left hand side=$5+4-12=-3$

right hand side=$4-7=-3$

so,left hand side =right hand side

When $x=0$,left hand side=$5+0-12=-7$

right hand side=$0-7=-7$

so,left hand side =right hand side

When $x=5$,left hand side=$5+5-12=-2$

right hand side=$5-7=-2$

so,left hand side =right hand side