Question

Can someone answer this? It’s 9th grade algebra

Answer 1

C

Explanation:

We want to solve the inequality:

`\displaystyle 5.1(3 + 2.2x) > -14.25 - 6(1.7x+4)`

Distribute:

`(15.3+11.22x) > -14.25 + (-10.2x-24)`

Combine like terms:

`15.3 + 11.22x > -10.2x-38.25`

We can add 10.2x to both sides:

`15.3 + 21.42x > -38.25`

Subtract 15.3 from both sides:

`21.42x > -53.55`

And divide both sides by 21.42. Hence:

`\displaystyle x > -2.5`

This means all values greater than -2.5. Hence, in interval notation:

`(-2.5, \infty)`

In conclusion, our answer is C.