Absolute Value and Linear Inequalities

Front

What is the opposite of -12?

Back

12

Front

What is the definition of absolute value?

Back

The distance a number is to zero.

Front

What is the solution set for the inequality 3x - 4y ≤ 12 when graphed on a coordinate plane?

Back

The region below the line 3x - 4y = 12, including the line.

Front

Choose the equation that best matches the graphed function: f(x)=|x-4|+3, f(x)=|x-3|+4, f(x)=|x-4|-3, f(x)=|x+4|+3.

Back

f(x)=|x+4|+3.

Front

What is the equation of the blue graph? g(x)=4|x|, g(x)=-4|x|, g(x)=\frac{1}{4}|x|, g(x)=-\frac{1}{4}|x|.

Back

g(x)=-4|x|.

Front

What is the absolute value of -5?

Back

5

Front

If |x| = 7, what are the possible values of x?

Back

x = 7 or x = -7.

Front

What does the graph of y = |x| look like?

Back

A V-shaped graph that opens upwards with the vertex at the origin (0,0).

Front

How do you solve the inequality |x - 3| < 5?

Back

3 - 5 < x < 3 + 5, which simplifies to -2 < x < 8.

Front

What is the effect of a negative coefficient in front of an absolute value function?

Back

It reflects the graph across the x-axis.