Graphing Inequalities

Front

What does the inequality x < -4 represent on a number line?

Back

It represents all numbers less than -4, shown with an open dot at -4 and a line extending to the left.

Front

When do you use a closed dot on a graph of an inequality?

Back

You use a closed dot when the inequality includes the values at the boundary, specifically for ≤ and ≥.

Front

If you can spend no more than 20 dollars, how is this represented in inequality form?

Back

x ≤ 20.

Front

What inequality represents a student being at least 15 years old?

Back

x ≥ 15.

Front

How is the inequality b ≤ -2 represented on a number line?

Back

It is represented with a closed dot at -2 and a line extending to the left.

Front

What does the symbol '>' mean in an inequality?

Back

It means 'greater than'.

Front

What does the symbol '<' mean in an inequality?

Back

It means 'less than'.

Front

What is the difference between ≤ and < in graphing inequalities?

Back

≤ includes the boundary point (closed dot), while < does not (open dot).

Front

If a student must score at least 70% to pass, how is this expressed in inequality form?

Back

x ≥ 70.

Front

What does the inequality x > 10 represent?

Back

It represents all numbers greater than 10, shown with an open dot at 10 and a line extending to the right.