Question

Which value or values for the variable x from the set below will make 4.5 + 1.2x ≥ 10 - x true? {3, 4, 5, 6}

Answer 1

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 $4.5 + 1.2x \geq 10 - x$ true

First we solve the inequality to find values for x

$4.5 + 1.2x \geq 10 - x$

Adding x on both sides

$4.5 + 1.2x+x \geq 10 - x+x\\4.5+2.5x\geq 10$

Subtracting 4.5 from both sides

$4.5+2.5x-4.5\geq 10-4.5\\2.5x\geq 5.5$

Divide both sides by 2.5

$\frac{2.5x}{2.5} \geq \frac{5.5}{2.5}\\x\geq 2.2$

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 $4.5 + 1.2x \geq 10 - x$

Option 4 is correct option.