Linear Inequalities (Edexcel A-Level Mathematics): Quizzes

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Linear Inequalities
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What does the symbol \geq mean in a linear inequality?

Greater than or equal to

When must you reverse the inequality sign?

Multiply/divide by a negative number

What type of circle is used on a number line for x>4x > 4?

Open circle

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

x>4x > 4

Solve 3x+283x + 2 \leq 8.

x2x \leq 2

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

x<2.5x < -2.5

When graphing x2x \leq 2, what type of circle is used at 2?

Closed circle

If 1<21 < 2, what happens when both sides are multiplied by 1-1?

1>2-1 > -2

How do you solve a three-way inequality like 52x+3125 \leq 2x + 3 \leq 12?

Do the same operation to all sides

Solve 52x+3125 \leq 2x + 3 \leq 12.

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

Solve 6x10>36x - 10 > 3.

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

Linear inequalities can be solved like equations, but with what key difference?

Reverse sign when multiplying/dividing by negative

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