Step - by - Step Explanation
What to find? Graph the inequality.
Given:
y≥ -1/2 x + 1
To find the above inequality, we need to first find the points on the graph.
The x and y-intercept of the inequality gives two of its point.
To find the y - intercept, put x = 0 and solve for y.
y = -1/2 (0) + 1
y = 1
The y-intercept is (0, 1).
To find the x - intercept, put y=0 and solve for x
0 =- 1/2 (x) + 1
Subtract 1 from both-side of the equation.
[tex]-1=-\frac{1}{2}x[/tex]Multiply both-side of the equation by 2.
[tex]-2=-x[/tex]Multiply through by -1.
x=2
The x - intercept is (2, 0)
Therefore, the points on the graph are (0, 1 ) and (2, 0).
Observe that y is "≥", this means the line is thick and it is shaded upward.
Below is the graph of the inequality.
