I can’t solve this inequality please help thank u

Question

107>5+6x

I can’t solve this inequality please help thank u

Answer 1

Hi!

We have the inequality 107 > 5 + 6x.

For starters, inequalities are very similar to equations! Our goal is still to solve for the variable. The "equality" rules also apply - meaning whatever we change on one side, we have to change on the other. To do this, we need to isolate the variable/variable term using inverse operations. Since I have a variable term, I will isolate it by taking the inverse of 5 on both sides...

107 - 5 > 5 (- 5) +6x

102 > 6x (to solve for x, we must take the inverse of multiplication. *tip, dividing or multiplying by negatives always flips your inequality for future cases).

17 > x

or commonly written as x < 17.

Answer 2

You can treat inequalities just like equalities with ONE EXCEPTION which is, when you multiply or divide both sides by a negative number, you must switch the inequality around.

107 > 5 + 6x subtract 5 from both sides to get:

102 > 6x now divide both sides by 6 to get:

17 > x

If 17 is greater than "x", that means x < 17 so either of these is an acceptable solution.