Algebra Examples

$5 a < - 35$ or $a - 14 > 1$

Step 1

Divide each term in $5 a < - 35$ by $5$ and simplify.

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Step 1.1

Divide each term in $5 a < - 35$ by $5$ .

$\frac{5 a}{5} < \frac{- 35}{5}$ or $a - 14 > 1$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $5$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{5 a}{5} < \frac{- 35}{5}$ or $a - 14 > 1$

Step 1.2.1.2

Divide $a$ by $1$ .

$a < \frac{- 35}{5}$ or $a - 14 > 1$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $- 35$ by $5$ .

$a < - 7$ or $a - 14 > 1$

Step 2

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

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Step 2.1

Add $14$ to both sides of the inequality.

$a < - 7$ or $a > 1 + 14$

Step 2.2

Add $1$ and $14$ .

$a < - 7$ or $a > 15$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$a < - 7 or a > 15$

Interval Notation:

$(- \infty, - 7) \cup (15, \infty)$

Step 4