Question

Four more than the quotient of a number and three is at least nine.

Answer 1

Equation

(x ÷ 3) + 4 ≥ 9

___________

Solution

x ≥ 15

Explanation:

Solve the inequality

`\left(x/3\right)+4\ge \:9\\x/ 3+4-4\ge \:9-4\\x/ 3\ge \:5\\3x/ 3\ge \:5\cdot \:3\\x\ge \:15`

Thus, the inequality solution is x ≥ 15

Answer 2

umber is greater than or equal to 15.

Explanation:

Let number be x

Quotient of number and 3 =

4 more than = 4+

4+ is at least 9

4+≥9

Simplifying it ,we get

≥9-4

≥5

x ≥ 5(3)

x≥15

Number needs to be greater than or equal to 15