Question

MEDAL!!!

Find the correct solution that best describes the inequality.
-3 < \(\large \frac{5x+9}{7}\) ≤ 2
a) (-∞, 1) ∩ (-6,∞)
b) (-∞, 1] ∩ (-6, ∞)
c) (-∞, 1) ∩ [-6, ∞)
d) (-∞, 1] ∩ [-6, ∞)

Answer 1

@Nnesha @Hero @SolomonZelman

Answer 2

@jim_thompson5910

Answer 3

I tried to solve for this and got that \(\large -6 < x \le 1\)

Answer 4

hint: break up the inequality to get

-3 < (5x+9)/7
and
(5x+9)/7 <= 2

Answer 5

Would \(\color{red}{\large 6 < x \le -1}\) be correct?

Answer 6

yes but you need to find an equivalent form

Answer 7

I don't understand

Answer 8

actually no, sorry, the answer is -6 < x <= 1

you need to find an equivalent form to that

Answer 9

solving `-3 < (5x+9)/7` leads to what?

Answer 10

-6 < x

Answer 11

write that in interval notation

Answer 12

(-6, \(\infty\))

Answer 13

good

Answer 14

But I noticed that when I drew the two inequalities together they did overlap.