Algebra Examples

$y < 4 x - 5$

Step 1

Rewrite so $x$ is on the left side of the inequality.

$4 x - 5 > y$

Step 2

Add $5$ to both sides of the inequality.

$4 x > y + 5$

Step 3

Divide each term in $4 x > y + 5$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 x > y + 5$ by $4$ .

$\frac{4 x}{4} > \frac{y}{4} + \frac{5}{4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4 x}{4} > \frac{y}{4} + \frac{5}{4}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x > \frac{y}{4} + \frac{5}{4}$