How do you solve #-8(4x+6)< -24# and graph the solution on a number line?
IMPORTANT: Since you're dividing both sides by a negative number (
After simplifying the fraction, you will end up with
How To Graph the Inequality
- Draw a number line such that it includes
- Draw a point on
It would only be a closed point if the inequality is
- Draw a straight arrow pointing to the right that connects to the point at
I hope this helps a lot! :)
Two approaches the first step:
Multiply both sides by (-1) to make everything positive and turn the inequality sign the other way round.
As in the algebra shortcut method of changing sides of the = sign.
Move what is on the left of the
I choose the form:
Divide both sides by 8
Subtract 6 from both sides
Divide both sides by 4
Number line 'graph'. The circle is hollow indicating 'greater than'.
Suppose it had been 'greater then or equal too'. In this case the circle would be filled in.
What is actually happening: The colored in area below