Question

Lve the compound inequalit -10<2x-6<0 raph the solution on the num

Answer 1

Hello!

Answer:

`\Large \boxed{\sf -2 < x < 3}`

Step-by-step explanation:

→ We want to solve this compound inequation:

`\sf -10 < 2x-6 < 0`

◼ Add 6 to both sides:

`\sf -10 +6 < 2x-6+6 < 0+6`

◼ Simplify both sides:

`\sf -4 < 2x < 6`

◼ Divide both sides by 2:

`\sf (-4)/(2) < (2x)/(2) < (6)/(2)`

◼ Simplify both sides:

`\boxed{\sf -2 < x < 3}`

Conclusion:

The solutions to the compound inequation -10 < 2x-6 < 0 are all values greater than -2 and less than 3.