Inequalities in One Variable

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 circle at -5 and shading to the right.

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 circle at 3 and shading to the right.

Front

In the inequality x > 3, which direction does the shaded arrow point on a number line?

Back

The shaded arrow points to the right.

Front

When graphing the inequality b < 6, should you use an open or closed circle at 6?

Back

You should use an open circle at 6.

Front

What type of dot should be used when graphing x > 3?

Back

An open dot should be used at 3.

Front

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

Back

An open circle indicates that the number is not included in the solution (e.g., < or >), while a closed circle indicates that the number is included (e.g., ≤ or ≥).

Front

How do you represent the inequality x ≤ 4 on a number line?

Back

You would use a closed circle at 4 and shade to the left.

Front

What does the inequality x < -2 indicate about the values of x?

Back

It indicates that x can take any value less than -2, not including -2 itself.

Front

How would you graph the inequality y ≥ 5?

Back

You would place a closed circle at 5 on the y-axis and shade upwards.

Front

What does the inequality x > -1 mean in terms of solution set?

Back

The solution set includes all real numbers greater than -1.