Answer:
[tex]r\geq 1\frac{1}{8}[/tex]
Step-by-step explanation:
Let r represents the number of inches of rain Hector's lawn still needs.
It has rained [tex]\frac{3}{8}[/tex] inch already this week.
We have been given that Hector waters his lawn if it does not get least [tex]1\frac{1}{2}[/tex] inches of rain each week.This means the amount of it already rained this week plus r should be greater than or equal to [tex]1\frac{1}{2}[/tex].
We can represent this information in an inequality as:
[tex]\frac{3}{8}+r\geq 1\frac{1}{2}[/tex]
[tex]\frac{3}{8}+r\geq \frac{3}{2}[/tex]
[tex]\frac{3}{8}-\frac{3}{8}+r\geq \frac{3}{2}-\frac{3}{8}[/tex]
[tex]r\geq \frac{3*4}{2*4}-\frac{3}{8}[/tex]
[tex]r\geq \frac{12}{8}-\frac{3}{8}[/tex]
[tex]r\geq \frac{12-3}{8}[/tex]
[tex]r\geq \frac{9}{8}[/tex]
[tex]r\geq 1\frac{1}{8}[/tex]
Therefore, the inequality [tex]r\geq 1\frac{1}{8}[/tex] represents the inches of rain Hector's Lawn still needs.
