Select the values that make the inequality start fraction, s, divided by, minus, 4, end fraction, is less than, minus, 2
−4
s
<−2 true. Then write an equivalent inequality, in terms of ss.
(Numbers written in order from least to greatest going across.)
Answer
Attempt 1 out of 2
0 4 5
7 8 9
11 12
To find the values that make the inequality true, you can substitute each option into the inequality and check if it satisfies the inequality.
Substituting 0:
0/-4 < -2
0 > -2
Substituting 4:
4/-4 < -2
-1 < -2
Substituting 5:
5/-4 < -2
-5/4 < -2
Substituting 7:
7/-4 < -2
-7/4 < -2
Substituting 8:
8/-4 < -2
-2 < -2
Substituting 9:
9/-4 < -2
-9/4 < -2
Substituting 11:
11/-4 < -2
-11/4 < -2
Substituting 12:
12/-4 < -2
-3 < -2
From these substitutions, we can see that the values that make the inequality true are 0, 4, 5, 7, 8, 9, 11, and 12.
To write an equivalent inequality in terms of s:
s/-4 < -2
This means that the inequality s divided by -4 is less than -2.