Solve -3(2m-8)< 2 (m 14)

Evaluate

- 3 (2 m - 8) < 2 (m \times 14)

Remove the parentheses

- 3 (2 m - 8) < 2 m \times 14

Multiply the terms

- 3 (2 m - 8) < 28 m

Expand the expression

More Steps

- 6 m + 24 < 28 m

Move the variable to the left side

- 6 m + 24 - 28 m < 0

Subtract the terms

More Steps

- 34 m + 24 < 0

Move the constant to the right side

- 34 m < 0 - 24

Removing 0 doesn't change the value,so remove it from the expression

- 34 m < - 24

Change the signs on both sides of the inequality and flip the inequality sign

34 m > 24

Divide both sides

\frac{34 m}{34} > \frac{24}{34}

Divide the numbers

m > \frac{24}{34}

Solution

m > \frac{12}{17}

Alternative Form

m \in (\frac{12}{17}, + \infty)

Solve the inequality