Inequalities Review

Front

What does the inequality s ≥ -2 represent on a number line?

Back

It represents all numbers greater than or equal to -2, including -2 itself.

Front

If the speed limit is 45 mph and Katie is going 30 mph, which inequality shows how much she can speed up without exceeding the limit?

Back

30 + s ≤ 45, where s is the speed increase.

Front

What inequality represents the time it will take for the temperature to fall below 50°F if it starts at 71°F and decreases by 3.5°F per hour?

Back

71 - 3.5x < 50, where x is the number of hours.

Front

When graphing the inequality 'Kelsey has at most 10 dollars', what type of circle is used?

Back

A closed circle is used to indicate that 10 dollars is included.

Front

Solve the inequality -8x < 48. What is the solution for x?

Back

x > -6.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

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

Back

It means 'less than or equal to'.

Front

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

Back

It means 'greater than or equal to'.

Front

How do you graph the inequality x < 3 on a number line?

Back

Draw an open circle at 3 and shade to the left.

Front

How do you graph the inequality x ≥ 4 on a number line?

Back

Draw a closed circle at 4 and shade to the right.