Graphing Inequalities on Number Line

Front

What does the inequality 6 > x mean?

Back

x is any number less than 6.

Front

What symbols indicate a closed dot when graphing inequalities?

Back

The symbols ≤ (less than or equal to) and ≥ (greater than or equal to) indicate a closed dot.

Front

Provide two examples of numbers that satisfy the inequality x < 8.

Back

0.8 and 5.9 are examples of numbers that satisfy x < 8.

Front

How do you rewrite the inequality 17 ≥ p with the variable on the left?

Back

p ≤ 17.

Front

How would you express the inequality x ≥ -2 in words?

Back

x is greater than or equal to -2.

Front

What is the graphical representation of the inequality x < 3?

Back

A number line with an open dot at 3 and a line extending to the left.

Front

What does an open dot represent in graphing inequalities?

Back

An open dot represents that the number is not included in the solution set.

Front

What is the solution set for the inequality x > 4?

Back

The solution set includes all numbers greater than 4.

Front

How do you graph the inequality -1 ≤ x ≤ 2?

Back

Draw a number line with closed dots at -1 and 2, shading the region between them.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary points, while non-strict inequalities (≤, ≥) do include them.