Answer:
[tex]y = 0.5[/tex]
Step-by-step explanation:
Given
[tex]4y > 1.2[/tex]
Required
Which value of y from [tex]\{ -0.5, -0.3, 0.3, 0.5 \}[/tex] makes the inequality true
First, we need to solve the inequality:
[tex]4y > 1.2[/tex]
Divide through by 4
[tex]\frac{4y}{4} > \frac{1.2}{4}[/tex]
[tex]y > \frac{1.2}{4}[/tex]
[tex]y > 0.3[/tex]
This means that the value of y that makes the inequality true is greater than 0.3.
From the list: [tex]\{ -0.5, -0.3, 0.3, 0.5 \}[/tex]
Only 0.5 is greater than 0.3.
Hence:
[tex]y = 0.5[/tex]