Graphing Inequalities

Front

What does the inequality x ≥ -5 represent on a number line?

Back

The graph includes all numbers greater than or equal to -5, with a closed dot at -5 and shading to the right.

Front

What does the phrase 'at least' indicate in terms of inequalities?

Back

It indicates 'greater than or equal to' (≥).

Front

What does the inequality x ≥ 3 represent on a number line?

Back

The graph includes all numbers greater than or equal to 3, with a closed dot at 3 and shading to the right.

Front

What does the inequality 6 > x mean?

Back

It means x is less than 6, which can be represented as x < 6.

Front

What does the inequality x ≥ -2 represent on a number line?

Back

The graph includes all numbers greater than or equal to -2, with a closed dot at -2 and shading to the right.

Front

What is the difference between x > 3 and x ≥ 3?

Back

x > 3 means x is greater than 3 (open dot), while x ≥ 3 means x is greater than or equal to 3 (closed dot).

Front

How do you graph the inequality x < 4?

Back

Draw a number line, place an open dot at 4, and shade to the left.

Front

What does the inequality x ≤ -1 mean?

Back

It means x is less than or equal to -1, represented with a closed dot at -1 and shading to the left.

Front

What does the term 'solution set' refer to in inequalities?

Back

The solution set is the set of all values that satisfy the inequality.

Front

How do you interpret the inequality x > -3?

Back

It means x can be any number greater than -3, represented with an open dot at -3 and shading to the right.