Solve the Inequality for y 25.2<=-1.5y+1.2

$25.2 \leq - 1.5 y + 1.2$

Step 1

Rewrite so $y$ is on the left side of the inequality.

$- 1.5 y + 1.2 \geq 25.2$

Step 2

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

Subtract $1.2$ from both sides of the inequality.

$- 1.5 y \geq 25.2 - 1.2$

Subtract $1.2$ from $25.2$ .

$- 1.5 y \geq 24$

Step 3

Divide each term in $- 1.5 y \geq 24$ by $- 1.5$ and simplify.

Divide each term in $- 1.5 y \geq 24$ by $- 1.5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 1.5 y}{- 1.5} \leq \frac{24}{- 1.5}$

Simplify the left side.

Cancel the common factor of $- 1.5$ .

Cancel the common factor.

$\frac{- 1.5 y}{- 1.5} \leq \frac{24}{- 1.5}$

Divide $y$ by $1$ .

$y \leq \frac{24}{- 1.5}$

Simplify the right side.

Divide $24$ by $- 1.5$ .

$y \leq - 16$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$y \leq - 16$

Interval Notation:

$(- \infty, - 16]$

Solve the Inequality for y 25.2<=-1.5y+1.2

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