Double Inequalities (Leaving Cert Mathematics): Quizzes

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Double Inequalities
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What is a double inequality?

An inequality with two inequality signs

How should you solve a double inequality?

Solve both inequalities separately

In 3x≤5x+3≤233x \le 5x+3 \le 23, what is the first inequality to solve?

3x≤5x+33x \le 5x+3

When solving 3x≤5x+33x \le 5x+3, what is the next step after getting −2x≤3-2x \le 3?

x≥−32x \ge -\frac{3}{2}

What happens to the inequality sign when you divide by a negative number?

It flips direction

Solving 5x+3≤235x+3 \le 23 gives which result?

x≤4x \le 4

After solving both parts of 3x≤5x+3≤233x \le 5x+3 \le 23, how do you write the final answer?

−32≤x≤4-\frac{3}{2} \le x \le 4

What does −32≤x≤4-\frac{3}{2} \le x \le 4 mean for xx?

xx is between −32-\frac{3}{2} and 4 inclusive

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