Solving Linear Inequalities (Grade 10 NSC Matric Mathematics): Quizzes

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Solving Linear Inequalities
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How do solutions differ between linear equations and linear inequalities?

Equations: one point; inequalities: range

What must you do when multiplying or dividing an inequality by a negative number?

Reverse the inequality sign direction

What does an open/hollow circle represent on a number line for inequalities?

The value is NOT included in the solution

When should a filled/closed dot be used on a number line?

When the value IS included (≤ or ≥)

In interval notation, what do square brackets [][ ] indicate?

The endpoint IS included

What type of bracket is always used with infinity symbols (∞∞ or −∞-∞)?

Round brackets ( )

What does the interval notation [2;5)[2; 5) represent?

From 2 (including 2) up to but not 5

What is the solution to −x>3-x > 3 when multiplied by −1-1?

x<−3x < -3

What is the solution to the compound inequality 5≤x+3<85 \leq x + 3 < 8?

2≤x<52 \leq x < 5

What is recommended to check your inequality solution?

Substitute a test value from the range

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