GED® Algebra: Inequalities Mastery
A focused GED® Algebra course on inequalities. Students learn inequality symbols, number-line graphs, one-step and two-step inequalities, the sign flip rule, variables on both sides, fraction and decimal inequalities, compound and absolute value inequalities, word-problem modeling, and linear inequalities in two variables. Lessons include many examples, and every practice answer gives detailed step-by-step reasoning.
📚 Course Curriculum
An inequality compares two expressions that are not necessarily equal. Instead of one answer, an inequality often has many possible answers. The symbols:. \(<\): less …
Open trial session →A number-line graph shows all possible answers. [[figure:number_line_ineq An open circle means the endpoint is not included; the ray points toward the solution values.]]. Use …
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One-step inequalities solve almost like one-step equations. Example 1:. Subtract 7 from both sides:. Example 2:. Add 4 to both sides:. Example 3:. Divide by …
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Here is the special rule that makes inequalities different from equations:. When you multiply or divide both sides by a negative number, flip the inequality …
Open trial session →Two-step inequalities usually look like:. Subtract 5:. Divide by \(-1\) and flip:. Check by testing one value. For \(x<3\), try \(x=0\):. is true, so the …
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Multi-step inequalities need the same cleanup routine as equations. Use this order:. Distribute. Combine like terms. Move variables and constants. Divide by the coefficient. Flip …
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When variables appear on both sides, simplify first. Then collect variable terms on one side. Example 1:. Subtract \(2x\):. Add 3:. Divide:. Example 2:. Subtract …
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Fractions and decimals do not change the inequality rules. They only make the arithmetic heavier. Example 1:. Multiply every term by the LCD, 6:. Combine:. …
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A compound inequality joins two inequalities. AND means the number must satisfy both conditions:. This means numbers below 2 and numbers above 5 are included, …
Open trial session →Absolute value means distance from zero. Absolute value inequalities are about distance from a center. Less than means inside the distance:. means \(x\) is within …
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Use inequalities when a story says at least, at most, no more than, fewer than, under, over, minimum, or maximum. Example 1 - budget:. A …
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Some inequalities use both \(x\) and \(y\). Their solutions are points, not just numbers. Example:. To test whether \((1,4)\) is a solution, substitute \(x=1\) and …
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Course Syllabus
Course Outcomes
📝 Practice Questions
62 interactive questions with instant feedback and explanations.
Enroll for free to unlock the full practice bank after the trial sessions.