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.