Solve the Inequality for x -3x+7-5x<15

$- 3 x + 7 - 5 x < 15$

Step 1

Subtract $5 x$ from $- 3 x$ .

$- 8 x + 7 < 15$

Step 2

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

Subtract $7$ from both sides of the inequality.

$- 8 x < 15 - 7$

Subtract $7$ from $15$ .

$- 8 x < 8$

Step 3

Divide each term in $- 8 x < 8$ by $- 8$ and simplify.

Divide each term in $- 8 x < 8$ by $- 8$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 8 x}{- 8} > \frac{8}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 x}{- 8} > \frac{8}{- 8}$

Divide $x$ by $1$ .

$x > \frac{8}{- 8}$

Simplify the right side.

Divide $8$ by $- 8$ .

$x > - 1$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > - 1$

Interval Notation:

$(- 1, \infty)$

Solve the Inequality for x -3x+7-5x<15

Related Questions

Support LCMGCF.com by disabling your adblocker.