Solve the Inequality for k 7k-3+5<-5

$7 k - 3 + 5 < - 5$

Step 1

Add $- 3$ and $5$ .

$7 k + 2 < - 5$

Step 2

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

Subtract $2$ from both sides of the inequality.

$7 k < - 5 - 2$

Subtract $2$ from $- 5$ .

$7 k < - 7$

Step 3

Divide each term in $7 k < - 7$ by $7$ and simplify.

Divide each term in $7 k < - 7$ by $7$ .

$\frac{7 k}{7} < \frac{- 7}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 k}{7} < \frac{- 7}{7}$

Divide $k$ by $1$ .

$k < \frac{- 7}{7}$

Simplify the right side.

Divide $- 7$ by $7$ .

$k < - 1$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$k < - 1$

Interval Notation:

$(- \infty, - 1)$