Answer:
Option 4 is correct option.
Step-by-step explanation:
We need to find the value for the variable x from the set {3,4,5,6} below will make [tex]4.5 + 1.2x \geq 10 - x[/tex] true
First we solve the inequality to find values for x
[tex]4.5 + 1.2x \geq 10 - x[/tex]
Adding x on both sides
[tex]4.5 + 1.2x+x \geq 10 - x+x\\4.5+2.5x\geq 10[/tex]
Subtracting 4.5 from both sides
[tex]4.5+2.5x-4.5\geq 10-4.5\\2.5x\geq 5.5\\[/tex]
Divide both sides by 2.5
[tex]\frac{2.5x}{2.5} \geq \frac{5.5}{2.5}\\x\geq 2.2[/tex]
So, after solving inequality we get x ≥ 2.2
So, all values greater than 2.2 can be considered true. In the set given {3,4,5,6} all values are greater than 2.2 so all values in the set are considered true for [tex]4.5 + 1.2x \geq 10 - x[/tex]
Option 4 is correct option.
