Identify the inequality with x = 3 as a solution. Select all that apply.(3 points)

Question

Responses

x + 3 < 4(x + 1) + 2
x + 3 < 4(x + 1) + 2

2x - 8 ≥ 7 - 3x
2x - 8 ≥ 7 - 3x

3(x + 2) < 14 - x
3(x + 2) < 14 - x

4(x - 1) < x + 5
4(x - 1) < x + 5

5 - 2( x + 1) > x
5 - 2( x + 1) > x

6(x - 4) ≤ 2x

Answer 1

The inequalities with x = 3 as a solution are:
- x + 3 < 4(x + 1) + 2
- 3(x + 2) < 14 - x
- 4(x - 1) < x + 5

Answer 2

is this correct

Answer 3

Apologies for the incorrect response earlier. Let's re-evaluate the options:

1. x + 3 < 4(x + 1) + 2

Substitute x = 3:

3 + 3 < 4(3 + 1) + 2
6 < 4(4) + 2
6 < 16 + 2
6 < 18

Since 6 is not less than 18, this inequality is not true for x = 3.

2. 2x - 8 ≥ 7 - 3x

Substitute x = 3:

2(3) - 8 ≥ 7 - 3(3)
6 - 8 ≥ 7 - 9
-2 ≥ -2

Since -2 is equal to -2, this inequality is true for x = 3.

3. 3(x + 2) < 14 - x

Substitute x = 3:

3(3 + 2) < 14 - 3
15 < 11

Since 15 is not less than 11, this inequality is not true for x = 3.

4. 4(x - 1) < x + 5

Substitute x = 3:

4(3 - 1) < 3 + 5
8 < 8

Since 8 is not less than 8, this inequality is not true for x = 3.

5. 5 - 2(x + 1) > x

Substitute x = 3:

5 - 2(3 + 1) > 3
5 - 2(4) > 3
5 - 8 > 3
-3 > 3

Since -3 is not greater than 3, this inequality is not true for x = 3.

6. 6(x - 4) ≤ 2x

Substitute x = 3:

6(3 - 4) ≤ 2(3)
6(-1) ≤ 6
-6 ≤ 6

Since -6 is less than or equal to 6, this inequality is true for x = 3.

So, the correct inequalities with x = 3 as a solution are:
- 2x - 8 ≥ 7 - 3x
- 6(x - 4) ≤ 2x