Solve the Inequality for z 2(2.1z+4.5)<=21.6

$2 (2.1 z + 4.5) \leq 21.6$

Divide each term in $2 (2.1 z + 4.5) \leq 21.6$ by $2$ and simplify.

Divide each term in $2 (2.1 z + 4.5) \leq 21.6$ by $2$ .

$\frac{2 (2.1 z + 4.5)}{2} \leq \frac{21.6}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 (2.1 z + 4.5)}{2} \leq \frac{21.6}{2}$

Divide $2.1 z + 4.5$ by $1$ .

$2.1 z + 4.5 \leq \frac{21.6}{2}$

Simplify the right side.

Divide $21.6$ by $2$ .

$2.1 z + 4.5 \leq 10.8$

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

Subtract $4.5$ from both sides of the inequality.

$2.1 z \leq 10.8 - 4.5$

Subtract $4.5$ from $10.8$ .

$2.1 z \leq 6.3$

Divide each term in $2.1 z \leq 6.3$ by $2.1$ and simplify.

Divide each term in $2.1 z \leq 6.3$ by $2.1$ .

$\frac{2.1 z}{2.1} \leq \frac{6.3}{2.1}$

Simplify the left side.

Cancel the common factor of $2.1$ .

Cancel the common factor.

$\frac{2.1 z}{2.1} \leq \frac{6.3}{2.1}$

Divide $z$ by $1$ .

$z \leq \frac{6.3}{2.1}$

Simplify the right side.

Divide $6.3$ by $2.1$ .

$z \leq 3$

The result can be shown in multiple forms.

Inequality Form:

$z \leq 3$

Interval Notation:

$(- \infty, 3]$