Pre-Algebra Examples

2 y + 3 > 4

$2 y + 3 > 4$

Step 1

Move all terms not containing

y

$y$ to the right side of the inequality.

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Step 1.1

Subtract

3

$3$ from both sides of the inequality.

2 y > 4 - 3

$2 y > 4 - 3$

Step 1.2

Subtract

3

$3$ from

4

$4$ .

2 y > 1

$2 y > 1$

2 y > 1

$2 y > 1$

Step 2

Divide each term in

2 y > 1

$2 y > 1$ by

2

$2$ and simplify.

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Step 2.1

Divide each term in

2 y > 1

$2 y > 1$ by

2

$2$ .

\frac{2 y}{2} > \frac{1}{2}

$\frac{2 y}{2} > \frac{1}{2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

2

$2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{2 y}{2} > \frac{1}{2}$

Step 2.2.1.2

Divide

$y$ by

$1$ .

$y > \frac{1}{2}$

$y > \frac{1}{2}$

$y > \frac{1}{2}$

$y > \frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$y > \frac{1}{2}$

Interval Notation:

$(\frac{1}{2}, \infty)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$