Inequalities Flashcard

Front

What does the inequality t < 4 represent?

Back

It represents all values of t that are less than 4.

Front

What is the meaning of the inequality S ≥ 54 inches?

Back

It means that a person must be at least 54 inches tall to ride the Superman Roller-coaster.

Front

How can we express the speed limit of 45 miles per hour in an inequality for Harper's speed?

Back

The inequality is 30 + s ≤ 45, where s is the amount Harper can speed up.

Front

What does an open dot on a graph indicate when graphing inequalities?

Back

An open dot indicates that the value is not included in the solution set, used with < or >.

Front

Which figure represents the inequality x > -4?

Back

Figure 3 represents the inequality x > -4.

Front

What is the difference between ≤ and < in inequalities?

Back

≤ includes the boundary value, while < does not.

Front

How do you solve the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides to get 2x < 8, then divide by 2 to find x < 4.

Front

What does the inequality y ≤ 5 represent on a graph?

Back

It represents all points on or below the horizontal line y = 5.

Front

What is the solution set for the inequality x < 0?

Back

The solution set includes all negative numbers.

Front

How do you graph the inequality x ≥ 2?

Back

Graph a solid dot at 2 and shade to the right to indicate all values greater than or equal to 2.