Pre-Algebra Examples

$6 a - 3 > 21$

Step 1

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

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Step 1.1

Add $3$ to both sides of the inequality.

$6 a > 21 + 3$

Step 1.2

Add $21$ and $3$ .

$6 a > 24$

Step 2

Divide each term in $6 a > 24$ by $6$ and simplify.

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Step 2.1

Divide each term in $6 a > 24$ by $6$ .

$\frac{6 a}{6} > \frac{24}{6}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $6$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{6 a}{6} > \frac{24}{6}$

Step 2.2.1.2

Divide $a$ by $1$ .

$a > \frac{24}{6}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $24$ by $6$ .

$a > 4$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$a > 4$

Interval Notation:

$(4, \infty)$