Algebra 1 - Inequalities

Front

What does a closed circle on a graph indicate for an inequality?

Back

A closed circle indicates that the value is included in the solution set, used for inequalities such as ≥ or ≤.

Front

What does an open circle on a graph indicate for an inequality?

Back

An open circle indicates that the value is not included in the solution set, used for inequalities such as > or <.

Front

How do you represent the inequality 'b is less than or equal to -2' on a number line?

Back

You would use a closed circle on -2 and shade to the left.

Front

What is the solution set for the inequality -13 < 2x + 5 < 15?

Back

The solution set is -9 < x < 5.

Front

How do you solve the inequality 3x + 7 < 22?

Back

Subtract 7 from both sides to get 3x < 15, then divide by 3 to find x < 5.

Front

What is the graphical representation of the inequality r ≥ -6?

Back

A closed circle at -6 with shading to the right.

Front

What is the difference between 'less than' and 'less than or equal to' in terms of graphing?

Back

'Less than' uses an open circle, while 'less than or equal to' uses a closed circle.

Front

How do you express the solution to the inequality x + 4 > 10?

Back

Subtract 4 from both sides to get x > 6.

Front

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

Back

It represents all values to the left of 3, with an open circle at 3.

Front

How do you solve the compound inequality 1 < 2x + 3 < 7?

Back

Subtract 3 from all parts to get -2 < 2x < 4, then divide by 2 to find -1 < x < 2.