Question

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

Answer 1

Answer:

C

Step-by-step 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.