Solve the Inequality for k 2k-4>-6k-7

$2 k - 4 > - 6 k - 7$

Step 1

Move all terms containing $k$ to the left side of the inequality.

Add $6 k$ to both sides of the inequality.

$2 k - 4 + 6 k > - 7$

Add $2 k$ and $6 k$ .

$8 k - 4 > - 7$

Step 2

Move all terms not containing $k$ to the right side of the inequality.

Add $4$ to both sides of the inequality.

$8 k > - 7 + 4$

Add $- 7$ and $4$ .

$8 k > - 3$

Step 3

Divide each term in $8 k > - 3$ by $8$ and simplify.

Divide each term in $8 k > - 3$ by $8$ .

$\frac{8 k}{8} > \frac{- 3}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 k}{8} > \frac{- 3}{8}$

Divide $k$ by $1$ .

$k > \frac{- 3}{8}$

Simplify the right side.

Move the negative in front of the fraction.

$k > - \frac{3}{8}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$k > - \frac{3}{8}$

Interval Notation:

$(- \frac{3}{8}, \infty)$