Linear Inequalities on the Digital SAT: the Desmos Method
An inequality changes direction at exactly one point — the place where its two sides are equal. Graph both sides, click the crossing, then decide which side of it wins.
Algebra·65 practice problems in DesPrep
The Linear Inequalities lesson is part of DesPrep
It is one of the 17 full lessons inside the subscription — 6 sections that take linear inequalities from first principles to the fastest Desmos route, with a worked example on every one:
- Every one of these is one point and one direction
- Graph each side as its own line
- When the question wants a whole number, look at which line is lower
- Fractions: type them, do not clear them
- Two bounds at once
- Word problems: build the line, then draw the budget
Then 65 practice problems on this skill alone, solved inside a live Desmos calculator with step feedback and an expert replay on every one.
More Algebra guides
- Linear Equations in One VariableSolve a linear equation by graphing each side as its own function and reading the x-coordinate where they meet — no algebra, no sign errors.
- Linear FunctionsEvaluate and interpret linear functions on the graph — function values, slope and intercepts read straight off the curve.
- Linear Equations in Two VariablesRead intercepts and paired values straight off the line, including equations given in standard form.
- Systems of Linear EquationsGraph both equations and click where they cross — the fastest route to a solution, and it never makes an elimination error.