Algebra Examples

$4 m - 3 (m + 1) - 4 < 0$

Step 1

Simplify $4 m - 3 (m + 1) - 4$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$4 m - 3 m - 3 \cdot 1 - 4 < 0$

Step 1.1.2

Multiply $- 3$ by $1$ .

$4 m - 3 m - 3 - 4 < 0$

$4 m - 3 m - 3 - 4 < 0$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Subtract $3 m$ from $4 m$ .

$m - 3 - 4 < 0$

Step 1.2.2

Subtract $4$ from $- 3$ .

$m - 7 < 0$

$m - 7 < 0$

$m - 7 < 0$

Step 2

Add $7$ to both sides of the inequality.

$m < 7$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$m < 7$

Interval Notation:

$(- \infty, 7)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$