Algebra Examples

$2 + 3 z < 2 z + - 1$

Step 1

Replace all occurrences of $+$ $-$ with a single $-$ . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because $1 \cdot - 1 = - 1$

$2 + 3 z < 2 z - 1$

Step 2

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

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Step 2.1

Subtract $2 z$ from both sides of the inequality.

$2 + 3 z - 2 z < - 1$

Step 2.2

Subtract $2 z$ from $3 z$ .

$2 + z < - 1$

Step 3

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

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Step 3.1

Subtract $2$ from both sides of the inequality.

$z < - 1 - 2$

Step 3.2

Subtract $2$ from $- 1$ .

$z < - 3$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$z < - 3$

Interval Notation:

$(- \infty, - 3)$