Solve the Inequality for a -2a-5>3

$- 2 a - 5 > 3$

Step 1

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

Add $5$ to both sides of the inequality.

$- 2 a > 3 + 5$

Add $3$ and $5$ .

$- 2 a > 8$

Step 2

Divide each term in $- 2 a > 8$ by $- 2$ and simplify.

Divide each term in $- 2 a > 8$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 a}{- 2} < \frac{8}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 a}{- 2} < \frac{8}{- 2}$

Divide $a$ by $1$ .

$a < \frac{8}{- 2}$

Simplify the right side.

Divide $8$ by $- 2$ .

$a < - 4$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$a < - 4$

Interval Notation:

$(- \infty, - 4)$

Solve the Inequality for a -2a-5>3

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