How many whole numbers less than 10 are solutions of 4x−8≤4?(1 point)
The correct answer is:
0, 1, 2, 3
To solve the inequality 4x - 8 ≤ 4, we can add 8 to both sides:
4x - 8 + 8 ≤ 4 + 8
4x ≤ 12
Then, we can divide both sides by 4:
4x/4 ≤ 12/4
x ≤ 3
So, the solutions of the inequality are all the whole numbers less than or equal to 3. Since we are looking for whole numbers less than 10, we only need to consider the numbers 0, 1, 2, and 3. Therefore, there are 4 solutions.
Which whole numbers less than 10 are solutions of 4x−8≤4?(1 point)
Responses
1, 2, 3, 4
0, 1, 2, 3
0, 2, 4, 6
1, 2, 3, 5
Which of the numbers 1, 2, and 3 is a solution of 2x+1≥7?(1 point)
Which symbol in place of the question mark makes the inequality 2x ? 20 true for the solutions 10, 11, and 12?
To find out which symbol in place of the question mark makes the inequality 2x ? 20 true for the solutions 10, 11, and 12, we can substitute each number for x and see which symbols make the inequality true.
For x = 10, we have:
2(10) ? 20
20 ? 20
This is not true for any symbol, because 20 is not less than, greater than, or equal to 20.
For x = 11, we have:
2(11) ? 20
22 ? 20
This is true if we use the greater than symbol, so:
2x > 20
For x = 12, we have:
2(12) ? 20
24 ? 20
This is also true if we use the greater than symbol.
Therefore, the answer is:
>
What number is not part of the solution set for z/5≠7?
To solve the inequality z/5 ≠ 7, we can multiply both sides by 5:
z ≠ 7 x 5
z ≠ 35
So, any number that is not 35 is part of the solution set. Therefore, the number that is not part of the solution set is:
35
What is the solution to the inequality h+8≤9+12? Include the appropriate inequality symbol in your response. (1 point)
To solve the inequality h + 8 ≤ 9 + 12, we can simplify the right side:
h + 8 ≤ 9 + 12
h + 8 ≤ 21
Then, we can subtract 8 from both sides:
h + 8 - 8 ≤ 21 - 8
h ≤ 13
The solution is:
h ≤ 13
Therefore, the appropriate inequality symbol to include in the response is:
≤