Math · Algebra · H.E.
Linear inequalities in one or two variables
Linear inequalities punish the one algebraic habit everyone forgets under time: flip the sign when you multiply or divide by a negative.
What Bluebook is testing
H.E. is one- or two-variable inequalities, compound AND/OR, and graphs of half-planes. Hard items ask which k makes every real x a solution — or none.
How it shows up
Number-line graphs, shaded regions, and 'which of the following is equivalent.' The identity-style items from H.A. come back with an inequality.
A method that survives Module 2
Isolate, then test one number from your solution set in the original inequality. For 'every real is a solution,' the inequality must collapse to a true statement with no x. On a graph, pick a test point (0, 0) unless it sits on the line.
Traps that look like knowledge
- Not flipping the inequality when multiplying by a negative
- Treating a compound AND as OR (overlap vs union)
- Shading the wrong side of a two-variable inequality
- Picking a boundary value that does not satisfy a strict inequality
Questions
- What is "Linear inequalities in one or two variables" on the Digital SAT?
- It is an official College Board skill in Digital SAT Math. The wording on Bluebook matches the domain taxonomy Drilled uses in drills, analytics, and the notebook.
- How does Drilled train Linear inequalities in one or two variables?
- Filter the bank to the skill, run a timed drill, autopsy every miss, and let the notebook bring the same pattern back. Domain drills and full section sims include the skill at the official mix.
- What is the most common trap on Linear inequalities in one or two variables?
- Not flipping the inequality when multiplying by a negative
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