Inequalities (Single) - 43Types Of Recurring Questions

In this course, we will cover 3 commonly tested recurring question types involving inequalities with a single inequality sign. Each question type focuses on a different technique used when solving inequality equations. Through clear explanations and step-by-step examples, students will learn the methods required to solve these inequalities accurately and present their answers correctly.

Type 1: Combine Two Inequalities

Draw a number line to illustrate the inequalities \(x>-3\) and \(x\le3\) on a single number line.

Type 2: Divide/Multiple Negative Algebra

Solve the inequality \(3x-11>5x-8\).

Type 3: Fractional Inequalities

Solve the inequality \(\frac{1}{5}x-\frac{2}{3}x>-7\).

Hence, find the largest possible value of \(x\) if \(x\) is a prime number.

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