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Maths Exercices

Solve one-step linear inequalities

Solving a linear inequality in one variable is much like solving a linear equation in one variable. To solve the inequality, you isolate the variable on one side using transformations that produce equivalent inequalities, which have the same solution(s).

Solve x+5≥3. Graph the solution.

x+5
3 Write original inequality
x+5-5
3-5 Subtract 5 from each side
x
-2 Simplify

The solution is all real numbers greater than or equal to -2.


Solve . Graph the solution.



Write original inequality.



Multiply each side by positive 3.

Simplify.

The solution is all real numbers less than or equal to 36.