Calculus Examples

$5 x - 6 > 11$

Step 1

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

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Step 1.1

Add $6$ to both sides of the inequality.

$5 x > 11 + 6$

Step 1.2

Add $11$ and $6$ .

$5 x > 17$

Step 2

Divide each term in $5 x > 17$ by $5$ and simplify.

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Step 2.1

Divide each term in $5 x > 17$ by $5$ .

$\frac{5 x}{5} > \frac{17}{5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{5 x}{5} > \frac{17}{5}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x > \frac{17}{5}$

Step 3

Convert the inequality to interval notation.

$(\frac{17}{5}, \infty)$

Step 4