Question

Determine which equation is false, based on the solution set S:{4}.

3t = 12

3m + 7 = 14

4(4c + 1) = 68

9 = 5p − 11

Answer 1

3m + 7 = 14

Explanation:

To determine which equation is false, we need to substitute any variable = 4 into each equation and evaluate.

Equation 1:

3t = 12

Substituting t = 4, we get

3(4) = 12

12 = 12

This equation is true.

`\hrulefill`

Equation 2:

3m + 7 = 14

Substituting m = 4, we get

3(4) + 7 = 14

12 + 7 = 14

19 = 14

This equation is false.

`\hrulefill`

Equation 3:

4(4c + 1) = 68

Substituting c = 4, we get

4(4 × 4 + 1) = 68

4(16 + 1) = 68

4(17) = 68

68 = 68

This equation is true.

`\hrulefill`

Equation 4:

9 = 5p − 11

Substituting p = 4, we get

9 = 5× 4 - 11

9 = 20 - 11

9 = 9

This equation is true.

Therefore, the equation that is false based on the solution set S:{4} is

3m + 7 = 14