Respuesta :

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]