Question

Solve for the inequality 12x < 22 + x

A. x<1/2
B. x> 1/2
C.x<2
D. x>2

Answer 1

Hey there!

Change the "addition" symbol to "subtraction"

We get:
`12x - x \ \textless \ x +22 -x`

Out of that equation we just made we get:
`11x \ \textless \ 22`

Now:
`11x \ \textless \ 22`

We have to divide by
`11` on each of your sides

Like:
`(11x)/(11) \ \textless \ (22)/(11)`

Cancel out:
`(11x)/(11)` because it gives you
`1`

Keep:
`(22)/(11)` because it gives you the result of
`2` which gives us the number on the other side of the less than sign

Finally, our answer:
`x \ \textless \ 2` (option
`C` )

Good luck on your assignment and enjoy your day!

~
`LoveYourselfFirst:)`