Solving inequalities
Lesson 12 of 20 in Union Aptitude Prep. The start plays free here.
- Negative means less than zero
- Write that condition
- Find when it is true
- −2x < 6
- x > −3
- a = (1/2)b − 4
- (1/2)b − 4 < 0
- (1/2)b < 4
- b < 8
- Number series trainer
- Algebra & functions with worked steps
- Reading comprehension sets
Paid once, no subscription. Ask for a refund within 7 days of buying if you’ve done less than 25% of the class.
How the lesson starts
You may need to find when a formula gives a negative result. An inequality expresses that condition: the result is less than zero.
You see −2x < 6 in your booklet. Use the same steps as an equation, but watch the sign when you multiply or divide.
Then, in the full lesson
- Reverse it
- Below zero
- Add four
- Keep direction
- Above zero
- 2 questions along the way
A question from this lesson
You need to solve −3x ≥ 12. What is the solution?
- x ≤ −4
- x ≤ 4
- x ≥ −4
Show the answer
A. x ≤ −4. x ≤ −4 follows from dividing both sides by negative three and reversing the sign. x ≥ −4 misses the reversal. x ≤ 4 gets the sign of the quotient wrong.
The full class, $39 once.
Paid once, no subscription. Ask for a refund within 7 days of buying if you’ve done less than 25% of the class.
- Number series trainer
- Algebra & functions with worked steps
- Reading comprehension sets
Not affiliated with IBEW, NECA, ETA or any JATC. Original practice questions only.