Solve the Inequality for a 2+2a<=10

$2 + 2 a \leq 10$

Step 1

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

Subtract $2$ from both sides of the inequality.

$2 a \leq 10 - 2$

Subtract $2$ from $10$ .

$2 a \leq 8$

Step 2

Divide each term in $2 a \leq 8$ by $2$ and simplify.

Divide each term in $2 a \leq 8$ by $2$ .

$\frac{2 a}{2} \leq \frac{8}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 a}{2} \leq \frac{8}{2}$

Divide $a$ by $1$ .

$a \leq \frac{8}{2}$

Simplify the right side.

Divide $8$ by $2$ .

$a \leq 4$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$a \leq 4$

Interval Notation:

$(- \infty, 4]$