Question

Can someone please show me the steps to answer this question?
Which values of x satisfy the inequality –(7/3)[x+(9/28)]<20?

Answer 1

-7/3 x + (-7/3 * 9/28) < 20
-7/3x -3/4 < 20
-7/3 x < 20 + 3/4
-7/3 x < 83/4
x< (83/4)(-3/7)
x< -249/28 or -8.893

Answer 2

zack forgot that multiplying by a negative number cause the relation operator < to flip to >

Answer 3

@zacksibayan @phi
my answer choices are
a. x < -8 25/28
b. x < -8 ¼
c. x > -8 25/28
d. x > -8 ¼

Answer 4

would -249/28 simplify to -8 25/28?

Answer 5

you divide 28 into 249 (ignore the minus sign. just remember the answer will be negative)
28 goes into 249 8 times. but there is a remainder

to find the remainder do 8*28= 224
we need to get to 249 so the remainder is 249-224= 25

Answer 6

you write the remainder divided by the divisor i.e. 25/28

so yes -8 25/28

so that narrows you to two choices.

unfortunately zack did not flip the relation sign when he solved the problem, so his final answer is not correct.

Answer 7

oh ok. Thank y'all for helping me!!!