Basic Math Examples

$\frac{x}{2} - 11 \leq - 6$

Step 1

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

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Step 1.1

Add $11$ to both sides of the inequality.

$\frac{x}{2} \leq - 6 + 11$

Step 1.2

Add $- 6$ and $11$ .

$\frac{x}{2} \leq 5$

Step 2

Multiply both sides by $2$ .

$\frac{x}{2} \cdot 2 \leq 5 \cdot 2$

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 $2$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{x}{2} \cdot 2 \leq 5 \cdot 2$

Step 3.1.1.2

Rewrite the expression.

$x \leq 5 \cdot 2$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $5$ by $2$ .

$x \leq 10$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \leq 10$

Interval Notation:

$(- \infty, 10]$