Solve Inequalities Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Which of the numbers 6, 7, and 8 is a solution of 3x≤18?(1 point)
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Solve Inequalities Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items
Question
Which of the numbers 11, 12, and 13 is a solution of 24−x<12?(1 point)
Which of the first 10 natural numbers is NOT a solution of 5x−1≠9 ?(1 point)
To determine which of the numbers 6, 7, and 8 is a solution of the inequality 3x ≤ 18, we can substitute each number into the inequality and check if the statement holds true.
For 6:
3 * 6 ≤ 18
18 ≤ 18
Since the inequality is true, 6 is a solution.
For 7:
3 * 7 ≤ 18
21 ≤ 18
Since the inequality is false, 7 is not a solution.
For 8:
3 * 8 ≤ 18
24 ≤ 18
Since the inequality is false, 8 is not a solution.
Therefore, the number 6 is the only solution of the inequality 3x ≤ 18.
To determine which of the numbers 11, 12, and 13 is a solution of the inequality 24 - x < 12, we can substitute each number into the inequality and check if the statement holds true.
For 11:
24 - 11 < 12
13 < 12
Since the inequality is false, 11 is not a solution.
For 12:
24 - 12 < 12
12 < 12
Since the inequality is false, 12 is not a solution.
For 13:
24 - 13 < 12
11 < 12
Since the inequality is true, 13 is a solution.
Therefore, the number 13 is the only solution of the inequality 24 - x < 12.
To determine which of the first 10 natural numbers is not a solution of the inequality 5x - 1 ≠ 9, we can substitute each number into the inequality and check if the statement holds true or false.
For the first 10 natural numbers (1, 2, 3, 4, 5, 6, 7, 8, 9, 10):
For 1:
5(1) - 1 ≠ 9
4 ≠ 9
Since the inequality is true, 1 is not a solution.
For 2:
5(2) - 1 ≠ 9
9 ≠ 9
Since the inequality is false, 2 is a solution.
For 3:
5(3) - 1 ≠ 9
14 ≠ 9
Since the inequality is true, 3 is not a solution.
For 4:
5(4) - 1 ≠ 9
19 ≠ 9
Since the inequality is true, 4 is not a solution.
For 5:
5(5) - 1 ≠ 9
24 ≠ 9
Since the inequality is true, 5 is not a solution.
For 6:
5(6) - 1 ≠ 9
29 ≠ 9
Since the inequality is true, 6 is not a solution.
For 7:
5(7) - 1 ≠ 9
34 ≠ 9
Since the inequality is true, 7 is not a solution.
For 8:
5(8) - 1 ≠ 9
39 ≠ 9
Since the inequality is true, 8 is not a solution.
For 9:
5(9) - 1 ≠ 9
44 ≠ 9
Since the inequality is true, 9 is not a solution.
For 10:
5(10) - 1 ≠ 9
49 ≠ 9
Since the inequality is true, 10 is not a solution.
Therefore, the numbers 1, 3, 4, 5, 6, 7, 8, 9, and 10 are not solutions of the inequality 5x - 1 ≠ 9.