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) The variable is x

2) [tex]1.5x > 51[/tex] Solving the inequality we get x>34

3) [tex]5b > 51[/tex], solving the inequality we get b>10.2

Step-by-step 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.

[tex]1.5x > 51[/tex]

Solving the inequality

[tex]x>\frac{51}{1.5}\\x>34[/tex]

Solving the inequality we get x>34

3) Write the inequality:

5 times b greater than 51

[tex]5b > 51[/tex]

4) Solving the inequality

[tex]5b > 51\\b>\frac{51}{5}\\b>10.2[/tex]

So, solving the inequality we get b>10.2

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