Solve the Inequality for k -18+k/3<=-26

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Algebra

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

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

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Add $18$ to both sides of the inequality.

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

Add $- 26$ and $18$ .

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

Multiply both sides by $3$ .

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

Simplify.

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Simplify the left side.

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Cancel the common factor of $3$ .

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Cancel the common factor.

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

Rewrite the expression.

$k \leq - 8 \cdot 3$

Simplify the right side.

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Multiply $- 8$ by $3$ .

$k \leq - 24$

The result can be shown in multiple forms.

Inequality Form:

$k \leq - 24$

Interval Notation:

$(- \infty, - 24]$

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