Inequalities Practice

Front

What does it mean when we say 'Kelsey has at most 10 dollars'?

Back

This means Kelsey can have 10 dollars or any amount less than 10 dollars. In inequality terms, it is represented as x ≤ 10.

Front

How do you represent 'Antavius must score at least 4 more points than 13 to be the top scorer'?

Back

This can be represented as s > 17, since he needs to score more than 13 + 4.

Front

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

Back

It represents all numbers less than 3, graphed with an open circle at 3 and shading to the left.

Front

If Andy runs the same number of miles every day and his total for the week is less than 60 miles, how is this represented?

Back

This is represented by the inequality 7x < 60, where x is the miles run each day.

Front

What does the inequality 2 > f mean when graphed?

Back

It means f is less than 2, represented with a closed circle at 2 and shading to the left.

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 (greater than or less than), while a closed circle indicates that the number is included (greater than or equal to, or less than or equal to).

Front

How do you express 'x is greater than or equal to 5' in inequality form?

Back

It is expressed as x ≥ 5.

Front

What does the inequality x > 10 indicate about the values of x?

Back

It indicates that x can be any number greater than 10, not including 10 itself.

Front

If a student scores less than 75 on a test, how would you write this as an inequality?

Back

This can be written as x < 75, where x is the score.

Front

What does it mean if a graph shows a shaded area to the right of a number with a closed circle?

Back

It means that the inequality is greater than or equal to that number.