inequality mixed review

Front

What is an absolute value inequality?

Back

An absolute value inequality is an inequality that involves the absolute value of a variable, expressing the distance of that variable from a certain point on the number line.

Front

Solve the inequality: |x - 2| > 3

Back

x < -1 or x > 5

Front

Solve the inequality: |x - 5| ≤ 10

Back

-5 ≤ x ≤ 15

Front

What does the inequality x > 2 mean?

Back

It means that x is any number greater than 2.

Front

What does the inequality x ≤ -3 mean?

Back

It means that x is any number less than or equal to -3.

Front

How do you graph the inequality y = -x + 2?

Back

Plot the y-intercept (0, 2) and use the slope (-1) to find another point, then draw a line through these points.

Front

What is the solution to the inequality -8x < 48?

Back

Divide by -8 and flip the sign: x > -6.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' means both conditions must be true, while 'or' means at least one condition must be true.

Front

What does the graph of x > 2 look like?

Back

A number line with an open circle at 2 and shading to the right.

Front

What does the graph of x ≤ -3 look like?

Back

A number line with a closed circle at -3 and shading to the left.