Inequalities (AQA A-Level Mathematics): Quizzes

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Linear Inequalities
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What is the main difference between linear inequalities and linear equations?

They use inequality symbols, not equals

What does the symbol \geq mean?

Greater than or equal to

What must you do when multiplying or dividing both sides by a negative number?

Reverse the inequality sign

Solve 2x3>52x - 3 > 5. What is the solution?

x>4x > 4

Solve 52x>105 - 2x > 10. What is the correct solution?

x<2.5x < -2.5

On a number line for x>4x > 4, what type of circle is drawn at 4?

Open circle

Which inequality would use a closed circle when graphed?

x2x \leq 2

In three-way inequalities, what should you do to all sides?

The same operation

Solve 52x+3125 \leq 2x + 3 \leq 12. What is the solution?

1x921 \leq x \leq \frac{9}{2}

Solve 6x10>36x - 10 > 3. What is the solution?

x>136x > \frac{13}{6}

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