Trigonometry Examples

$5 (m - 4) + 4 < 39$

Step 1

Simplify $5 (m - 4) + 4$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$5 m + 5 \cdot - 4 + 4 < 39$

Step 1.1.2

Multiply $5$ by $- 4$ .

$5 m - 20 + 4 < 39$

Step 1.2

Add $- 20$ and $4$ .

$5 m - 16 < 39$

Step 2

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

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Step 2.1

Add $16$ to both sides of the inequality.

$5 m < 39 + 16$

Step 2.2

Add $39$ and $16$ .

$5 m < 55$

Step 3

Divide each term in $5 m < 55$ by $5$ and simplify.

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Step 3.1

Divide each term in $5 m < 55$ by $5$ .

$\frac{5 m}{5} < \frac{55}{5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{5 m}{5} < \frac{55}{5}$

Step 3.2.1.2

Divide $m$ by $1$ .

$m < \frac{55}{5}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $55$ by $5$ .

$m < 11$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$m < 11$

Interval Notation:

$(- \infty, 11)$