Question

Mr.Martin states that in order for the solution to the equation 3x + q = 6 to be positive, the value of q must be less than 6. Select a value of q that is less than 6 and show that the solution to the equation 3x + q = 6 is positive. Select a value of q that is not less than 6 and show that the solution to the equation 3x + q = 6 is not positive

Answer 1

Mr. Martin's statement is correct.

Explanation:

First we select a value of q that is less than 6:

q = 3

Then we write the equation:

• 3x + 3 = 6

And solve for x:

• 3x = 6 - 4

• 3x = 3

• x = 3/3

• x = 1

The solution is positive because x > 0.

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Then we select a value of q that is not less than 6:

q = 9

Then we write the equation:

• 3x + 9 = 6

And solve for x:

• 3x = 6 - 9

• 3x = -3

• x = -3/3

• x = -1

The solution is negative because x > 0.