Algebra Examples

$10 \geq 2 x > 4$

Step 1

Solve $5 \geq x > 2$ .

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Step 1.1

Divide each term in the inequality by $2$ .

$\frac{10}{2} \geq \frac{2 x}{2} > \frac{4}{2}$

Step 1.2

Divide $10$ by $2$ .

$5 \geq \frac{2 x}{2} > \frac{4}{2}$

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Cancel the common factor.

$5 \geq \frac{2 x}{2} > \frac{4}{2}$

Step 1.3.2

Divide $x$ by $1$ .

$5 \geq x > \frac{4}{2}$

Step 1.4

Divide $4$ by $2$ .

$5 \geq x > 2$

Step 1.5

Rewrite the interval so that the left value is less than the right value. This is the correct way to write an interval solution.

$2 < x \leq 5$

Step 2

Use the inequality $2 < x \leq 5$ to build the set notation.

${x | 2 < x \leq 5}$

Step 3