16(1/4x-1/2)>24-2x
Use the distributive property on the left side:
4x -8 > 24-2x
Add 2x to each side:
6x -8 > 24
Add 8 to each side:
6x >32
Divide both sides by 6:
x > 32/6 reduces to 16/3
Not sure if there is a typo in any of your answers, but I do not see the correct answer listed.
We find the solution of the given inequality is x>16/3.
Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤. To 'solve' an inequality means to find a range, or ranges, of values that an unknown x can take and still satisfy the inequality.
How to solve the inequality?
Given Inequality is
16(1/4x-1/2)>24-2x
Use the distributive property on the left side:
4x -8 > 24-2x
Add 2x to each side:
6x -8 > 24
Add 8 to each side:
6x >32
Divide both sides by 6:
x > 32/6 reduces to 16/3 { Divide both sides}
Learn more about inequalities on : https://brainly.com/question/11613554
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