14 less twice the sum of m and 12 is at most 24.
Find all the solutions for m. Give all three
representations.



Answer :

The solution to the given inequality are x  ≤ 7, and (-∞, 7).

Inequality expressions

Inequality expressions are expressions that are not separated by an equal sign.

For the statement "14 less twice the sum of m and 12 is at most 24", it is expressed as:

2(x+12)-14 ≤ 24

Simplify

2x + 24 - 14  ≤ 24

2x + 10  ≤ 24

2x  ≤ 24 - 10

2x ≤ 14

Divide both sides by 2

x  ≤ 14/2

x  ≤ 7

Hence the solution to the given inequality are x  ≤ 7, and (-∞, 7).

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