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A system of linear inequalities is shown below: y − x < 0 x − 1 > 0
Which of the following graphs best represents the solution set to this system of linear inequalities?

A)The first line is a dashed line which joins ordered pairs 1, 5 and 1,negative 3. The second line is a dashed line and joins ordered pairs negative 2, negative 2 and 3, 3. The portion common to the left of the first line and below the second line is shaded

B) The first line is a dashed line which joins ordered pairs 1, 5 and 1, negative 3. The second line is a dashed line and joins ordered pairs negative 2, negative 2 and 3, 3. The portion common to the right of the first line and below the x axis is shaded

C) The first line is a dashed line which joins ordered pairs 1, 5 and 1, negative 3. The second line is a dashed line and joins ordered pairs negative 2, negative 2 and 3, 3. The portion common to the right of the first line and below the second line is shaded

D)The first line is a dashed line which joins ordered pairs 1, 5 and 1, negative 3. The second line is a dashed line and joins ordered pairs negative 2, negative 2 and 3, 3. The portion common to the right of the first line and below the second line and above the x axis is shaded

2 Answers

4 votes

Answer:

c

Explanation:

i did usa test prep

User Ignas
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8.2k points
3 votes
for the equation y - x < 0,
y < x
The shaded portion will be under the dashed line joining points (-2, -2) and (3, 3).

for the equation x - 1 > 0,
x > 1
The shaded portion will be to the right of the dashed line joining points (1, 5) and (1, -3).

The portion affected by the two shadings will be the portion common to the right of the dashed line joining points (1, 5) and (1, -3) and under the dashed line joining points (-2, -2) and (3, 3).
Therefore the correct answer is option c.
User Drewww
by
8.5k points

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