Solve the Inequality for x 5x-1<7x+9

$5 x - 1 < 7 x + 9$

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

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

$5 x - 1 - 7 x < 9$

Subtract $7 x$ from $5 x$ .

$- 2 x - 1 < 9$

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

Add $1$ to both sides of the inequality.

$- 2 x < 9 + 1$

Add $9$ and $1$ .

$- 2 x < 10$

Divide each term in $- 2 x < 10$ by $- 2$ and simplify.

Divide each term in $- 2 x < 10$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} > \frac{10}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} > \frac{10}{- 2}$

Divide $x$ by $1$ .

$x > \frac{10}{- 2}$

Simplify the right side.

Divide $10$ by $- 2$ .

$x > - 5$

The result can be shown in multiple forms.

Inequality Form:

$x > - 5$

Interval Notation:

$(- 5, \infty)$

Solve the Inequality for x 5x-1<7x+9

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