Question

Problem 1:

1. Define the variable:
1. Trini needs more than 51
cubic feet of soil to top up
his raised garden. Each bag
of soil contains 1.5 cubic
feet. Write and solve an
inequality to find how many
bags of soil Trini needs.
2. Write the inequality:
5 times b greater than 51
3.
Solve the inequality
4. Interpret the solution

Answer 1

1) The variable is x

2)
`1.5x > 51` Solving the inequality we get x>34

3)
`5b > 51`, solving the inequality we get b>10.2

Explanation:

1. Define the variable:

The variable is x

2) Trini needs more than 51 cubic feet of soil to top up his raised garden. Each bag of soil contains 1.5 cubic feet. Write and solve an inequality to find how many bags of soil Trini needs.

`1.5x > 51`

Solving the inequality

`x>(51)/(1.5)\\x>34`

Solving the inequality we get x>34

3) Write the inequality:

5 times b greater than 51

`5b > 51`

4) Solving the inequality

`5b > 51\\b>(51)/(5)\\b>10.2`

So, solving the inequality we get b>10.2