Solve the Inequality for a -3.6>=-0.3a+1.2

$- 3.6 \geq - 0.3 a + 1.2$

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

$- 0.3 a + 1.2 \leq - 3.6$

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

Subtract $1.2$ from both sides of the inequality.

$- 0.3 a \leq - 3.6 - 1.2$

Subtract $1.2$ from $- 3.6$ .

$- 0.3 a \leq - 4.8$

Divide each term in $- 0.3 a \leq - 4.8$ by $- 0.3$ and simplify.

Divide each term in $- 0.3 a \leq - 4.8$ by $- 0.3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 0.3 a}{- 0.3} \geq \frac{- 4.8}{- 0.3}$

Simplify the left side.

Cancel the common factor of $- 0.3$ .

Cancel the common factor.

$\frac{- 0.3 a}{- 0.3} \geq \frac{- 4.8}{- 0.3}$

Divide $a$ by $1$ .

$a \geq \frac{- 4.8}{- 0.3}$

Simplify the right side.

Divide $- 4.8$ by $- 0.3$ .

$a \geq 16$

The result can be shown in multiple forms.

Inequality Form:

$a \geq 16$

Interval Notation:

$[16, \infty)$

Solve the Inequality for a -3.6>=-0.3a+1.2

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