Respuesta :

Answer:

[tex]x\geq 6\text{ or } x<-3[/tex]

Step-by-step explanation:

We have the compound inequality:

[tex]2(x-1)\geq10\text{ or } 3-4x>15[/tex]

Let's solve each of them individually first:

We have:

[tex]2(x-1)\geq10[/tex]

Divide both sides by 2:

[tex]x-1\geq5[/tex]

Add 1 to both sides:

[tex]x\geq6[/tex]

We have:

[tex]3-4x>15[/tex]

Subtract from both sides:

[tex]-4x>12[/tex]

Divide both sides by -4:  

[tex]x<-3[/tex]

Hence, our solution set is:

[tex]x\geq 6\text{ or } x<-3[/tex]

Answer:

x ≥ 6 or x < -3

Step-by-step 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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