Question

What is the value?
`8 + 4x \geqslant 12`

Answer 1

Given the equation:

`8\text{ }+\text{ 4x }\ge\text{ 12}`

We are required to find x.

First subtract 8 from both sides:

`8\text{ - 8 }+\text{ 4x }\ge\text{ 12 -8}`
`4x\text{ }\ge\text{ 4}`

Now, divide both sides by 4

`(4x)/(4)\text{ }\ge\text{ }(4)/(4)`
`x\text{ }\ge\text{ 1}`

We did not flip the inequality sign because we divided both sides by a posite number and not a negative number. The inequality sign should be flipped only when both sides are divided by a negative number.