4/16 Graphing Linear Inequalities

Front

If the inequality symbol is \( \le \) or \( \ge \), the line will be ___________.

Back

solid

Front

Which inequality describes the graph where the shaded area is above the line?

Back

y > mx + b (where m is the slope and b is the y-intercept)

Front

Which inequality describes the graph where the shaded area is below the line?

Back

y < mx + b (where m is the slope and b is the y-intercept)

Front

If the inequality symbol is \( < \) or \( > \), the line will be ___________.

Back

dotted

Front

What does a solid line indicate in a graph of a linear inequality?

Back

The points on the line are included in the solution set.

Front

What does a dotted line indicate in a graph of a linear inequality?

Back

The points on the line are not included in the solution set.

Front

How do you graph the inequality \( y \geq 2x + 3 \)?

Back

Graph the line \( y = 2x + 3 \) as solid and shade above the line.

Front

How do you graph the inequality \( y < -x + 1 \)?

Back

Graph the line \( y = -x + 1 \) as dotted and shade below the line.

Front

What is the slope of the line represented by the inequality \( y \leq \frac{1}{2}x - 4 \)?

Back

The slope is \( \frac{1}{2} \).

Front

What is the y-intercept of the line represented by the inequality \( y \geq -3x + 5 \)?

Back

The y-intercept is 5.