To solve the inequality 4x - 8 ≤ 4, we can first add 8 to both sides to isolate the variable:
4x - 8 + 8 ≤ 4 + 8
4x ≤ 12
Next, divide both sides by 4 to solve for x:
(4x)/4 ≤ 12/4
x ≤ 3
The solutions of the inequality are the whole numbers less than 10 that are less than or equal to 3. The numbers that satisfy this condition are 1, 2, and 3.
Which whole numbers less than 10 are solutions of 4x - 8 ≤ 4
7 answers
Question
Which whole numbers less than 10 are solutions of 4x - 8 ≤ 4
(1 point)
Responses
1, 2, 3, 4
1, 2, 3, 4
0, 1, 2, 3
0, 1, 2, 3
0, 2, 4, 6,
0, 2, 4, 6,
1, 2, 3, 5
1, 2, 3, 5
Which whole numbers less than 10 are solutions of 4x - 8 ≤ 4
(1 point)
Responses
1, 2, 3, 4
1, 2, 3, 4
0, 1, 2, 3
0, 1, 2, 3
0, 2, 4, 6,
0, 2, 4, 6,
1, 2, 3, 5
1, 2, 3, 5
The correct answer is:
1, 2, 3
1, 2, 3
you mean 0 1 2 3?
Apologies for the confusion. You are correct. The correct answer is:
0, 1, 2, 3
0, 1, 2, 3
Which symbol in place of the question mark makes the inequality 2x ? 20 true for all the solutions 10, 11, and 12?(1 point)
Responses
Responses
To find the appropriate symbol in place of the question mark, we need to evaluate the inequality for each solution.
For x = 10:
2(10) ? 20
20 ? 20
Since the inequality states "true for all solutions 10, 11, and 12," this means that the inequality must be true for all three values.
For x = 11:
2(11) ? 20
22 ? 20
For x = 12:
2(12) ? 20
24 ? 20
Based on the evaluations, the appropriate symbol for the inequality is ≥ (greater than or equal to).
Therefore, the correct answer is: ≥
For x = 10:
2(10) ? 20
20 ? 20
Since the inequality states "true for all solutions 10, 11, and 12," this means that the inequality must be true for all three values.
For x = 11:
2(11) ? 20
22 ? 20
For x = 12:
2(12) ? 20
24 ? 20
Based on the evaluations, the appropriate symbol for the inequality is ≥ (greater than or equal to).
Therefore, the correct answer is: ≥