Graphing Inequalities (one-step)

Front

What do the symbols < and > represent when graphing inequalities?

Back

They represent an open dot on the number line.

Front

What does the inequality x - 5 ≤ 10 mean when x = 6?

Back

x = 6 is a solution to the inequality.

Front

What inequality is represented by a graph with an open dot at -4 and shading to the left?

Back

x < -4

Front

What inequality is represented by a graph with a closed dot at 3 and shading to the right?

Back

x ≥ 3

Front

What do the symbols ≤ and ≥ represent when graphing inequalities?

Back

They represent a closed dot on the number line.

Front

How do you graph the inequality x > 2?

Back

Draw a number line, place an open dot at 2, and shade to the right.

Front

What is the difference between an open dot and a closed dot on a number line?

Back

An open dot indicates that the number is not included (>, <), while a closed dot indicates that the number is included (≥, ≤).

Front

If x ≤ 4, what values can x take?

Back

x can take any value less than or equal to 4.

Front

How would you represent the inequality x < 5 on a number line?

Back

Draw an open dot at 5 and shade to the left.

Front

What does the inequality x ≥ -1 mean?

Back

x can take any value greater than or equal to -1.