Algebra Examples

$\frac{q}{7} + 1 > - 5$

Step 1

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

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Step 1.1

Subtract $1$ from both sides of the inequality.

$\frac{q}{7} > - 5 - 1$

Step 1.2

Subtract $1$ from $- 5$ .

$\frac{q}{7} > - 6$

Step 2

Multiply both sides by $7$ .

$\frac{q}{7} \cdot 7 > - 6 \cdot 7$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $7$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{q}{7} \cdot 7 > - 6 \cdot 7$

Step 3.1.1.2

Rewrite the expression.

$q > - 6 \cdot 7$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $- 6$ by $7$ .

$q > - 42$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$q > - 42$

Interval Notation:

$(- 42, \infty)$