Problem 8
Question
Sketch the graph of the inequality. $$x<4$$
Step-by-Step Solution
Verified Answer
The graph of the inequality \(x<4\) is a vertical line at x=4 with the area to the left shaded to represent all x-values less than 4.
1Step 1: Identify the Line
First we need to draw the line x = 4. On the x-axis, find the point that represents 4. This line is a vertical line that goes through this point.
2Step 2: Determine the Inequality Region
Since the inequality sign is '<', the area that satisfies the inequality is the area lying to the left of the line x=4. If the inequality sign was '>', we would shade to the right of the line.
3Step 3: Shade the Appropriate Region
Color the area to the left of the line. This colored area represents all the x-values that are less than 4 in accordance with our inequality.
Other exercises in this chapter
Problem 7
Sketch the graph of the inequality. $$x \geq 2$$
View solution Problem 7
Determine whether the system of equations is in row-echelon form. Justify your answer. $$ \left\\{\begin{aligned} x-9 y+z &=22 \\ 2 y+z &=-3 \\ z &=1 \end{align
View solution Problem 8
Determine whether the system of equations is in row-echelon form. Justify your answer. $$ \left\\{\begin{array}{rr} x-y-8 z= & 12 \\ 2 y-2 z= & 2 \\ 7 z= & -7 \
View solution Problem 9
Sketch the region determined by the constraints. Then find the minimum anc maximum values of the objective function and where they occur, subject to the indicat
View solution