Multi-step Inequalities Practice

Front

What symbol is used for an open dot when graphing an inequality?

Back

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Front

What operations must be undone to solve the inequality \( \frac{x}{-6} + 20 > 4 \)?

Back

Addition, then division.

Front

What is the solution to the inequality \( \frac{x}{-6} + 20 > 4 \)?

Back

x ≤ -11

Front

When graphing the inequality x < 3, would you use a closed or open circle?

Back

Open circle.

Front

What is the solution to the inequality 28 − k ≥ 7(k − 4)?

Back

k ≤ 7

Front

What does an open dot on a number line represent in terms of inequalities?

Back

It indicates that the value is not included in the solution set.

Front

What does a closed dot on a number line represent in terms of inequalities?

Back

It indicates that the value is included in the solution set.

Front

How do you isolate a variable in an inequality?

Back

Perform inverse operations to both sides of the inequality.

Front

What is the first step to solve the inequality 3x - 5 < 10?

Back

Add 5 to both sides.

Front

What is the result of multiplying or dividing both sides of an inequality by a negative number?

Back

The direction of the inequality sign reverses.