Graphing Inequalities {Practice}

Front

What does the inequality r ≥ -6 mean when graphed?

Back

The graph includes all numbers greater than or equal to -6, represented with a closed dot at -6 and a shaded line to the right.

Front

When do you use a closed dot in graphing inequalities?

Back

You use a closed dot for inequalities with the symbols ≤ (less than or equal to) and ≥ (greater than or equal to).

Front

What does an open dot signify in graphing inequalities?

Back

An open dot indicates that the number is not included in the solution, used for < (less than) and > (greater than).

Front

How would you graph the inequality x > 2.5?

Back

You would place an open dot at 2.5 and shade to the right, indicating all numbers greater than 2.5.

Front

Which inequality corresponds to a graph with a closed dot at -3 and shading to the left?

Back

The inequality is x ≤ -3.

Front

What is the difference between ≤ and < in graphing?

Back

≤ includes the endpoint (closed dot), while < does not include the endpoint (open dot).

Front

If a graph shows a closed dot at 4 and shading to the right, what is the inequality?

Back

The inequality is x ≥ 4.

Front

What does the graph of x < 1 look like?

Back

It has an open dot at 1 and shading to the left, indicating all numbers less than 1.

Front

How do you represent the inequality y > 3 on a graph?

Back

You place an open dot at 3 on the y-axis and shade upwards.

Front

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

Back

It includes all numbers less than or equal to 5, with a closed dot at 5 and shading to the left.