Solve for x 19<=5x+4<=24

$19 \leq 5 x + 4 \leq 24$

Step 1

Move all terms not containing $x$ from the center section of the inequality.

Subtract $4$ from each section of the inequality because it does not contain the variable we are trying to solve for.

$19 - 4 \leq 5 x \leq 24 - 4$

Subtract $4$ from $19$ .

$15 \leq 5 x \leq 24 - 4$

Subtract $4$ from $24$ .

$15 \leq 5 x \leq 20$

Step 2

Divide each term in the inequality by $5$ .

$\frac{15}{5} \leq \frac{5 x}{5} \leq \frac{20}{5}$

Step 3

Divide $15$ by $5$ .

$3 \leq \frac{5 x}{5} \leq \frac{20}{5}$

Step 4

Cancel the common factor of $5$ .

Cancel the common factor.

$3 \leq \frac{5 x}{5} \leq \frac{20}{5}$

Divide $x$ by $1$ .

$3 \leq x \leq \frac{20}{5}$

Step 5

Divide $20$ by $5$ .

$3 \leq x \leq 4$

Step 6

The result can be shown in multiple forms.

Inequality Form:

$3 \leq x \leq 4$

Interval Notation:

$[3, 4]$

Step 7