Select the values that make the inequality y, ≤, minus, 3y≤−3 true.
(Numbers written in order from least to greatest going across.)
Answer
Attempt 1 out of 2
-11 -8 -6
-4 -3.1 -3.01
-3.001 -3 -2.999
-2.99 -2.9 -2
0 2 5
To determine which values make the inequality true, we can substitute each value into the inequality and see if it holds.
Substituting -11 into the inequality:
-3(-11) ≤ -3
33 ≤ -3 (not true)
Substituting -8 into the inequality:
-3(-8) ≤ -3
24 ≤ -3 (not true)
Substituting -6 into the inequality:
-3(-6) ≤ -3
18 ≤ -3 (not true)
Substituting -4 into the inequality:
-3(-4) ≤ -3
12 ≤ -3 (not true)
Substituting -3.1 into the inequality:
-3(-3.1) ≤ -3
9.3 ≤ -3 (not true)
Substituting -3.01 into the inequality:
-3(-3.01) ≤ -3
9.03 ≤ -3 (not true)
Substituting -3.001 into the inequality:
-3(-3.001) ≤ -3
9.003 ≤ -3 (not true)
Substituting -3 into the inequality:
-3(-3) ≤ -3
9 ≤ -3 (not true)
Substituting -2.999 into the inequality:
-3(-2.999) ≤ -3
8.997 ≤ -3 (not true)
Substituting -2.99 into the inequality:
-3(-2.99) ≤ -3
8.97 ≤ -3 (not true)
Substituting -2.9 into the inequality:
-3(-2.9) ≤ -3
8.7 ≤ -3 (not true)
Substituting -2 into the inequality:
-3(-2) ≤ -3
6 ≤ -3 (not true)
Substituting 0 into the inequality:
-3(0) ≤ -3
0 ≤ -3 (not true)
Substituting 2 into the inequality:
-3(2) ≤ -3
-6 ≤ -3 (true)
Substituting 5 into the inequality:
-3(5) ≤ -3
-15 ≤ -3 (true)
From the values given, the only values that make the inequality true are 2 and 5. Therefore, the answer is 2, 5.
There’s a mistake
Apologies for the mistake. Let's go through the values again:
Substituting -11 into the inequality:
-3(-11) ≤ -3
33 ≤ -3 (not true)
Substituting -8 into the inequality:
-3(-8) ≤ -3
24 ≤ -3 (not true)
Substituting -6 into the inequality:
-3(-6) ≤ -3
18 ≤ -3 (not true)
Substituting -4 into the inequality:
-3(-4) ≤ -3
12 ≤ -3 (not true)
Substituting -3.1 into the inequality:
-3(-3.1) ≤ -3
9.3 ≤ -3 (not true)
Substituting -3.01 into the inequality:
-3(-3.01) ≤ -3
9.03 ≤ -3 (not true)
Substituting -3.001 into the inequality:
-3(-3.001) ≤ -3
9.003 ≤ -3 (not true)
Substituting -3 into the inequality:
-3(-3) ≤ -3
9 ≤ -3 (not true)
Substituting -2.999 into the inequality:
-3(-2.999) ≤ -3
8.997 ≤ -3 (not true)
Substituting -2.99 into the inequality:
-3(-2.99) ≤ -3
8.97 ≤ -3 (not true)
Substituting -2.9 into the inequality:
-3(-2.9) ≤ -3
8.7 ≤ -3 (not true)
Substituting -2 into the inequality:
-3(-2) ≤ -3
6 ≤ -3 (not true)
Substituting 0 into the inequality:
-3(0) ≤ -3
0 ≤ -3 (not true)
Substituting 2 into the inequality:
-3(2) ≤ -3
-6 ≤ -3 (true)
Substituting 5 into the inequality:
-3(5) ≤ -3
-15 ≤ -3 (true)
I apologize for the confusion earlier. From the values given, the only values that make the inequality true are 2 and 5. Therefore, the answer is 2, 5.