Solve for x -5x-7<28

$- 5 x - 7 < 28$

Step 1

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

Add $7$ to both sides of the inequality.

$- 5 x < 28 + 7$

Add $28$ and $7$ .

$- 5 x < 35$

Step 2

Divide each term in $- 5 x < 35$ by $- 5$ and simplify.

Divide each term in $- 5 x < 35$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 x}{- 5} > \frac{35}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} > \frac{35}{- 5}$

Divide $x$ by $1$ .

$x > \frac{35}{- 5}$

Simplify the right side.

Divide $35$ by $- 5$ .

$x > - 7$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > - 7$

Interval Notation:

$(- 7, \infty)$

Solve for x -5x-7<28

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