Algebra Examples

$2 d - 5 \leq x \leq 2 d + 5$

Step 1

Solve $2 d - 5 \leq x$ for $d$ .

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Step 1.1

Add $5$ to both sides of the inequality.

$2 d \leq x + 5$

Step 1.2

Divide each term in $2 d \leq x + 5$ by $2$ and simplify.

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Step 1.2.1

Divide each term in $2 d \leq x + 5$ by $2$ .

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

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $2$ .

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Step 1.2.2.1.1

Cancel the common factor.

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

Step 1.2.2.1.2

Divide $d$ by $1$ .

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

Step 2

Find the intersection of $d \leq \frac{x}{2} + \frac{5}{2}$ and $x \leq 2 d + 5$ .

$x \leq N o (Min i m u m)$

Step 3