Question

Solve for x.
−8x+14≥60 OR −4x+50<58

Answer 1

x ≤ -
`(23)/(4)` or x > -2

Answer 2

Answer: The solution is,

`x\leq -(23)/(4)` or
`x>-2`

Explanation:

Given compound inequality,

-8x + 14 ≥ 60 or -4x + 50 < 58,

By the subtraction property of inequality,

-8x + 14 - 14 ≥ 60 - 14 or -4x + 50 - 50 < 58 -50,

-8x ≥ 46 or -4x < 8

By the division property of inequality,

`-x \geq (46)/(8)` or
`-x < (8)/(4)`

Using property a > b ⇒ - a < -b,

`x\leq -(23)/(4)` or
`x>-2`