Algebra Examples

$\frac{2}{7} > b + \frac{5}{7}$

Step 1

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

$b + \frac{5}{7} < \frac{2}{7}$

Step 2

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

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Step 2.1

Subtract $\frac{5}{7}$ from both sides of the inequality.

$b < \frac{2}{7} - \frac{5}{7}$

Step 2.2

Combine the numerators over the common denominator.

$b < \frac{2 - 5}{7}$

Step 2.3

Subtract $5$ from $2$ .

$b < \frac{- 3}{7}$

Step 2.4

Move the negative in front of the fraction.

$b < - \frac{3}{7}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$b < - \frac{3}{7}$

Interval Notation:

$(- \infty, - \frac{3}{7})$