Question

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What are the steps to solving the inequality 3b + 8 ≥ 14? A). Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3. B). Subtract 8 from both sides of the inequality. Change the direction of the inequality. C). Divide both sides of the inequality by 3. D). Divide both sides of the inequality by 3. Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3. Change the direction of the inequality. Subtract 8 from both sides of the inequality.

Answer 1

Given:

`3b+8\geq 14`

To find:

The steps to solving the given inequality.

Solution:

We have,

`3b+8\geq 14`

Subtract 8 from both sides.

`3b+8-8\geq 14-8`

`3b\geq 6`

Divide both sides by 3.

`(3b)/(3)\geq (6)/(3)`

`b\geq 2`

Two steps are:

1. Subtract 8 from both sides of the inequality.

2. Divide both sides of the inequality by 3.

Therefore, the correct option is A.