Procedure for
1. Solve
2. Solve
3. Solve
Put all three on number lines and take
what is common to all three number
lines:
Solve the first two only:
Add +x to both sides:
Add -3 to both sides:
Divide through by +3 (doesn't reverse inequality)
which is the same as
Draw the graph of that on a number line:
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Next solve the second and third only:
Add -3 to all three sides:
Add +8x to both sides:
Divide both sides by 10:
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Divide both sides by -9 (reverses the inequality)
So that gave us the same inequality as the second.
Therefore we have only these two inequalities:
and
They can be written together as
or in interval notation as (-1,0).
Edwin
