Question

which whole numbers less than 10 are solutions of 4x -8 </= 4?

Answer 1

To find the solutions of the inequality 4x - 8 ≤ 4 when x is a whole number less than 10, we can simply plug in each whole number less than 10 into the inequality and check if it holds true.

Let's check each whole number less than 10:

For x = 1:
4(1) - 8 ≤ 4
4 - 8 ≤ 4
-4 ≤ 4
This is true, so x = 1 is a solution.

For x = 2:
4(2) - 8 ≤ 4
8 - 8 ≤ 4
0 ≤ 4
This is true, so x = 2 is a solution.

For x = 3:
4(3) - 8 ≤ 4
12 - 8 ≤ 4
4 ≤ 4
This is true, so x = 3 is a solution.

For x = 4:
4(4) - 8 ≤ 4
16 - 8 ≤ 4
8 ≤ 4
This is false, so x = 4 is not a solution.

For x = 5:
4(5) - 8 ≤ 4
20 - 8 ≤ 4
12 ≤ 4
This is false, so x = 5 is not a solution.

For x = 6:
4(6) - 8 ≤ 4
24 - 8 ≤ 4
16 ≤ 4
This is false, so x = 6 is not a solution.

For x = 7:
4(7) - 8 ≤ 4
28 - 8 ≤ 4
20 ≤ 4
This is false, so x = 7 is not a solution.

For x = 8:
4(8) - 8 ≤ 4
32 - 8 ≤ 4
24 ≤ 4
This is false, so x = 8 is not a solution.

For x = 9:
4(9) - 8 ≤ 4
36 - 8 ≤ 4
28 ≤ 4
This is false, so x = 9 is not a solution.

Therefore, the whole numbers less than 10 that are solutions of the inequality 4x - 8 ≤ 4 are x = 1, x = 2, and x = 3.