Which graph represents the solution to the system of inequalities? y ≥ x – 5 y < –x + 4
1 answer:
We want to solve the system of inequalities
y ≥ x - 5
y < -x + 4
The line y = x - 5 has
slope = 1
y-intercept = -5
x-intercept: x - 5 = 0 => x = 5
The line y = -x + 4 has
slope = -1
y-intercept = 4
x-intercept: -x + 4 = 0 => x = 4
Answer:
Graph the two lines and apply the inequalities as shown in the figure.
The shaded area is the solution region.
y ≥ x - 5
y < -x + 4
The line y = x - 5 has
slope = 1
y-intercept = -5
x-intercept: x - 5 = 0 => x = 5
The line y = -x + 4 has
slope = -1
y-intercept = 4
x-intercept: -x + 4 = 0 => x = 4
Answer:
Graph the two lines and apply the inequalities as shown in the figure.
The shaded area is the solution region.
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The graph of an absolute value parent function is a pair of rays in quadrant 1 & 2, as shown in the graph.
The absolute value function is
f(x) = |x| or y = |x|
We also know that the absolute function can be wriiten as
y = |x|
=> y = x or y = -x
Comparing with y = mx + c
We get
m = 1 or m=-1 and c = 0
c = 0 implies that the line passes through the origin.
Hence the slopes shall be -1, 1 & the line passes through the origin.
Option A, B & D are the right answers.
