Algebra Examples

$- 18 + \frac{k}{3} \leq - 26$

Step 1

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

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Step 1.1

Add $18$ to both sides of the inequality.

$\frac{k}{3} \leq - 26 + 18$

Step 1.2

Add $- 26$ and $18$ .

$\frac{k}{3} \leq - 8$

Step 2

Multiply both sides by $3$ .

$\frac{k}{3} \cdot 3 \leq - 8 \cdot 3$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $3$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{k}{3} \cdot 3 \leq - 8 \cdot 3$

Step 3.1.1.2

Rewrite the expression.

$k \leq - 8 \cdot 3$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $- 8$ by $3$ .

$k \leq - 24$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$k \leq - 24$

Interval Notation:

$(- \infty, - 24]$