REQUIRED
1
29.
A set of possible solutions for each inequality is shown.
Select the solutions that make the inequality true.
3x – 3 ≤ 6
{-3, -2, -1, 0, 1, 2, 3, 4, 5}
REQUIRED
1
30.
A set of possible solutions for each inequality is shown.
Select the solutions that make the inequality true.
-4w + 7 > 3
{-3, -2, -1, 0, 1, 2, 3, 4, 5}
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You have responded to 13 of 30 questions.
For question 29, we have the inequality 3x - 3 ≤ 6. To find the solutions that make the inequality true, we need to check each value in the given set {-3, -2, -1, 0, 1, 2, 3, 4, 5}.
Plug in each value from the set into the inequality and see if it satisfies the inequality.
- 3(-3) - 3 ≤ 6 ==> 9 - 3 ≤ 6 ==> 6 ≤ 6 (True)
- 3(-2) - 3 ≤ 6 ==> 6 - 3 ≤ 6 ==> 3 ≤ 6 (True)
- 3(-1) - 3 ≤ 6 ==> 3 - 3 ≤ 6 ==> 0 ≤ 6 (True)
- 3(0) - 3 ≤ 6 ==> 0 - 3 ≤ 6 ==> -3 ≤ 6 (True)
- 3(1) - 3 ≤ 6 ==> -3 - 3 ≤ 6 ==> -6 ≤ 6 (True)
- 3(2) - 3 ≤ 6 ==> -6 - 3 ≤ 6 ==> -9 ≤ 6 (True)
- 3(3) - 3 ≤ 6 ==> -9 - 3 ≤ 6 ==> -12 ≤ 6 (True)
- 3(4) - 3 ≤ 6 ==> -12 - 3 ≤ 6 ==> -15 ≤ 6 (False)
- 3(5) - 3 ≤ 6 ==> -15 - 3 ≤ 6 ==> -18 ≤ 6 (False)
The solutions that make the inequality true are {-3, -2, -1, 0, 1, 2, 3}.
For question 30, we have the inequality -4w + 7 > 3. Again, we need to check each value in the set {-3, -2, -1, 0, 1, 2, 3, 4, 5}.
Plug in each value from the set into the inequality and see if it satisfies the inequality.
-4(-3) + 7 > 3 ==> 12 + 7 > 3 ==> 19 > 3 (True)
-4(-2) + 7 > 3 ==> 8 + 7 > 3 ==> 15 > 3 (True)
-4(-1) + 7 > 3 ==> 4 + 7 > 3 ==> 11 > 3 (True)
-4(0) + 7 > 3 ==> 0 + 7 > 3 ==> 7 > 3 (True)
-4(1) + 7 > 3 ==> -4 + 7 > 3 ==> 3 > 3 (False)
-4(2) + 7 > 3 ==> -8 + 7 > 3 ==> -1 > 3 (False)
-4(3) + 7 > 3 ==> -12 + 7 > 3 ==> -5 > 3 (False)
-4(4) + 7 > 3 ==> -16 + 7 > 3 ==> -9 > 3 (False)
-4(5) + 7 > 3 ==> -20 + 7 > 3 ==> -13 > 3 (False)
The solutions that make the inequality true are {-3, -2, -1, 0}.
You have answered 13 out of 30 questions so far.