Solve for a a<=2x-8<=b

$a \leq 2 x - 8 \leq b$

Step 1

Solve $2 x - 8 \leq b$ for $x$ .

Add $8$ to both sides of the inequality.

$2 x \leq b + 8$

Divide each term in $2 x \leq b + 8$ by $2$ and simplify.

Divide each term in $2 x \leq b + 8$ by $2$ .

$\frac{2 x}{2} \leq \frac{b}{2} + \frac{8}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} \leq \frac{b}{2} + \frac{8}{2}$

Divide $x$ by $1$ .

$x \leq \frac{b}{2} + \frac{8}{2}$

Simplify the right side.

Divide $8$ by $2$ .

$x \leq \frac{b}{2} + 4$

Step 2

Find the intersection of $a \leq 2 x - 8$ and $x \leq \frac{b}{2} + 4$ .

$x \leq N o (Min i m u m)$

Step 3