Finite Math Examples

$7 x + 2 < 6 x - 5$

Step 1

Move all terms containing $x$ to the left side of the inequality.

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Step 1.1

Subtract $6 x$ from both sides of the inequality.

$7 x + 2 - 6 x < - 5$

Step 1.2

Subtract $6 x$ from $7 x$ .

$x + 2 < - 5$

Step 2

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

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Step 2.1

Subtract $2$ from both sides of the inequality.

$x < - 5 - 2$

Step 2.2

Subtract $2$ from $- 5$ .

$x < - 7$

Step 3

Convert the inequality to interval notation.

$(- \infty, - 7)$

Step 4