Algebra Examples

$- 2.4 (x - 6) \geq 52.8$

Step 1

Divide each term in $- 2.4 (x - 6) \geq 52.8$ by $- 2.4$ and simplify.

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Step 1.1

Divide each term in $- 2.4 (x - 6) \geq 52.8$ by $- 2.4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2.4 (x - 6)}{- 2.4} \leq \frac{52.8}{- 2.4}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 2.4$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{- 2.4 (x - 6)}{- 2.4} \leq \frac{52.8}{- 2.4}$

Step 1.2.1.2

Divide $x - 6$ by $1$ .

$x - 6 \leq \frac{52.8}{- 2.4}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $52.8$ by $- 2.4$ .

$x - 6 \leq - 22$

Step 2

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

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Step 2.1

Add $6$ to both sides of the inequality.

$x \leq - 22 + 6$

Step 2.2

Add $- 22$ and $6$ .

$x \leq - 16$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \leq - 16$

Interval Notation:

$(- \infty, - 16]$