Home > Algebra > Inequalities with Addition and Subtraction

How do you solve #8+ 10+ x \leq 51#?

Answer 1

#18+x≤51#

#x≤51-18#

#x≤33#

You must isolate the variable on one side of this inequality, in this case #x#.

Step 1: Add #8# and #10# together to get #18#. Step 2: Transfer that to the other side of the equation to get #-18# (negative #18#). Step 3: Add that to #51# to get #33#.

Alternatively, you could just take the #18# out of each side rather than shifting it around; either way, the result will be the same.

Last response:

#x≤33#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Isaiah Anthony

To solve the inequality 8 + 10 + x ≤ 51, subtract 18 from both sides to isolate x. This leaves you with x ≤ 33. So, the solution to the inequality is x ≤ 33.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.