Pre-Algebra Examples

$3 x - 3 - 11 > - (- 2)$

Step 1

Subtract $11$ from $- 3$ .

$3 x - 14 > - (- 2)$

Step 2

Multiply $- 1$ by $- 2$ .

$3 x - 14 > 2$

Step 3

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

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Step 3.1

Add $14$ to both sides of the inequality.

$3 x > 2 + 14$

Step 3.2

Add $2$ and $14$ .

$3 x > 16$

Step 4

Divide each term in $3 x > 16$ by $3$ and simplify.

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Step 4.1

Divide each term in $3 x > 16$ by $3$ .

$\frac{3 x}{3} > \frac{16}{3}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $3$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{3 x}{3} > \frac{16}{3}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x > \frac{16}{3}$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$x > \frac{16}{3}$

Interval Notation:

$(\frac{16}{3}, \infty)$