Question

Solve the following inequality.

Answer 1

Solving the inequality given algebraically, the solution of the inequality for the value of m is:

m < -4 OR m > 3

Given the following inequality,

$\frac{m - 2}{3} < -2$

or

4m + 3 > 15

Let's solve algebraically for the value of m in both inequality statements given.

$\frac{m - 2}{3} < -2$

• Multiply both sides by 3

$\frac{m - 2}{3} \times 3 < -2 \times 3\\\\m - 2 < -6$

• Add 2 to both sides

$m - 2 + 2 < -6 + 2\\\\m < -4$

Or

4m + 3 > 15

• Subtract 3 from each side

4m + 3 - 3 > 15 - 3

4m > 12

• Divide both sides by 4

$\frac{4m}{4} > \frac{12}{4}$

m > 3

Therefore, solving the inequality given algebraically, the solution of the inequality for the value of m is:

m < -4 OR m > 3

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