Question

How do you solve `17x + 4 >= 15 - 5x`?

Answer 1

Solution: `x>= 0.5 or [0.5 ,oo)`

Explanation:

`17x +4 >= 15 -5x or 17x +5x >= 15 -4` or

`22x >= 11 or x >= 11/22 or x>= 1/2 or x>= 0.5`

Solution: `x>= 0.5 or [0.5 ,oo)` [Ans]

Answer 2

`x >= 1/2`

Explanation:

Things to remember when working with inequalities
You can do the following to both sides of an inequality without effecting the validity or direction of the inequality.

• Add or subtract the same amount to both sides.
• Multiply or divide both sides by any amount that is greater than zero

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Given
`color(white)("XXX")17x+4 >= 15-5x`

Adding `5x` to both sides
`color(white)("XXX")22x+4 >= 15`

Subtracting `4` from both sides
`color(white)("XXX")22x >= 11`

Divide both sides by `22`
`color(white)("XXX")x >= 1/2`