Question

2(x-1) ≥ 10 or 3-4x > 15
Solve the compound inequality, and show work!

Answer 1

x ≥ 6 or x < -3

Explanation:

2(x-1) ≥ 10 or 3 - 4x > 15

2x - 2 ≥ 10 4x < -12

x ≥ 6 or x < -3

Topic: Inequalities

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Answer 2

`x\geq 6\text{ or } x<-3`

Explanation:

We have the compound inequality:

`2(x-1)\geq10\text{ or } 3-4x>15`

Let's solve each of them individually first:

We have:

`2(x-1)\geq10`

Divide both sides by 2:

`x-1\geq5`

Add 1 to both sides:

`x\geq6`

We have:

`3-4x>15`

Subtract from both sides:

`-4x>12`

Divide both sides by -4:

`x<-3`

Hence, our solution set is:

`x\geq 6\text{ or } x<-3`