Question

Is a b c or d? (Please explain)

Answer 1

Equation: 5 + 8x < 3(2x + 4)


• So let’s first distribute:

Multiply 3 by (2x + 4)

That will be 6x + 12.


Put into the question: 5 + 8x < 6x + 12


• Now we can move the numbers around and UNDO to solve for x.

I will move the coefficient first, so subtract 6x from both side, so that it is easier:

5 + 8x < 6x + 12
- 6x < - 6x

That will be: 5 + 2x < 12


Now we’ll subtract the 5 from both side:

5 + 2x < 12
- 5 < -5

That will left with: 2x < 7


Now we divide both side by 2 to left with x.

2x < 7
—- —-
2 2

Now that will be: x is less than 3.5

x < 3.5


Since the inequality is open, the dot is white, or not shaded.

And since x is less than 3.5, any number less than 3.5 is the answer, so A is the answer.