Algebra Examples

$- X^{2} + 4 x - 7 < 0$

Step 1

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

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Step 1.1

Add $X^{2}$ to both sides of the inequality.

$4 x - 7 < X^{2}$

Step 1.2

Add $7$ to both sides of the inequality.

$4 x < X^{2} + 7$

Step 2

Divide each term in $4 x < X^{2} + 7$ by $4$ and simplify.

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Step 2.1

Divide each term in $4 x < X^{2} + 7$ by $4$ .

$\frac{4 x}{4} < \frac{X^{2}}{4} + \frac{7}{4}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $4$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{4 x}{4} < \frac{X^{2}}{4} + \frac{7}{4}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x < \frac{X^{2}}{4} + \frac{7}{4}$