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

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

Step 1

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

Subtract $7 x$ from both sides of the inequality.

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

Subtract $7 x$ from $5 x$ .

$- 3 - 2 x < - 5$

Step 2

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

Add $3$ to both sides of the inequality.

$- 2 x < - 5 + 3$

Add $- 5$ and $3$ .

$- 2 x < - 2$

Step 3

Divide each term in $- 2 x < - 2$ by $- 2$ and simplify.

Divide each term in $- 2 x < - 2$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} > \frac{- 2}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} > \frac{- 2}{- 2}$

Divide $x$ by $1$ .

$x > \frac{- 2}{- 2}$

Simplify the right side.

Divide $- 2$ by $- 2$ .

$x > 1$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > 1$

Interval Notation:

$(1, \infty)$

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

Related Questions

Support LCMGCF.com by disabling your adblocker.