Class practice absolute value & inequality

Front

What is absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Front

How do you express the inequality x < 8 in interval notation?

Back

(-∞, 8)

Front

What is the solution to the inequality 45 + 10x < 205?

Back

x < 16

Front

How do you write the interval [-4, -1) in words?

Back

The interval includes -4 and goes up to, but does not include, -1.

Front

What does the notation (a, b) represent in interval notation?

Back

It represents an open interval where 'a' and 'b' are not included.

Front

What does the notation [a, b] represent in interval notation?

Back

It represents a closed interval where both 'a' and 'b' are included.

Front

What is the solution to the inequality x > 5 in interval notation?

Back

(5, ∞)

Front

How do you express the inequality x ≤ -3 in interval notation?

Back

(-∞, -3]

Front

What is the solution to the inequality -2x + 4 > 0?

Back

x < 2

Front

How do you express the inequality x ≥ 7 in interval notation?

Back

[7, ∞)