Algebra Examples

$6 h - 6 + 2 h < 2 (4 h - 3)$

Step 1

Add $6 h$ and $2 h$ .

$8 h - 6 < 2 (4 h - 3)$

Step 2

Simplify $2 (4 h - 3)$ .

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Step 2.1

Apply the distributive property.

$8 h - 6 < 2 (4 h) + 2 \cdot - 3$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $4$ by $2$ .

$8 h - 6 < 8 h + 2 \cdot - 3$

Step 2.2.2

Multiply $2$ by $- 3$ .

$8 h - 6 < 8 h - 6$

Step 3

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

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Step 3.1

Subtract $8 h$ from both sides of the inequality.

$8 h - 6 - 8 h < - 6$

Step 3.2

Combine the opposite terms in $8 h - 6 - 8 h$ .

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Step 3.2.1

Subtract $8 h$ from $8 h$ .

$0 - 6 < - 6$

Step 3.2.2

Subtract $6$ from $0$ .

$- 6 < - 6$

Step 4

Since $- 6 > - 6$ , there are no solutions.

No solution