Algebra Examples

$15 (x - 3) - 14 x \geq 14$

Step 1

Simplify $15 (x - 3) - 14 x$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$15 x + 15 \cdot - 3 - 14 x \geq 14$

Step 1.1.2

Multiply $15$ by $- 3$ .

$15 x - 45 - 14 x \geq 14$

Step 1.2

Subtract $14 x$ from $15 x$ .

$x - 45 \geq 14$

Step 2

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

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Step 2.1

Add $45$ to both sides of the inequality.

$x \geq 14 + 45$

Step 2.2

Add $14$ and $45$ .

$x \geq 59$

Step 3

Convert the inequality to interval notation.

$[59, \infty)$

Step 4