To solve the inequality 2|m+7|-5>3, isolate the absolute value expression and solve for m. The solution is m < -11 or m > -3.
To solve the inequality 2|m+7|-5>3, we need to isolate the absolute value expression and solve for m. Here are the steps:
Add 5 to both sides of the inequality: 2|m+7| > 8.
Divide both sides by 2: |m+7| > 4.
Split the inequality into two cases: m+7 > 4 or m+7 < -4.
Case 1: m+7 > 4. Subtract 7 from both sides to get m > -3.
Case 2: m+7 < -4. Subtract 7 from both sides to get m < -11.
Therefore, the solution to the inequality is m < -11 or m > -3. This means that any value of m less than -11 or greater than -3 will satisfy the inequality.
The probable question may be:
Solve the expression: 2|m+7|-5>3.