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Solve for the inequality 12x < 22 + x

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

1 Answer

1 vote
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:)
User Ravi
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