Below are three statements. At least one of these statements is totally correct

Question

Below are three statements. At least one of these statements is totally correct and the other two may contain some error in thinking. Please correct the wording of any statement that needs it and explain your decisions to edit or not edit.

1. When an absolute value is present in a linear equation in one variable, it is possible to have as many as three solutions, and as few as one.

2. If a line has a positive slope, it will rise from left to right. A horizontal line has and undefined slope. A vertical line has a slope of zero.

3. Given the graph of two linear inequalities in one variable. The conjunction "and" indicates that only the intersection of the two graphs will be shaded. The conjunction "or" will indicate that both shaded regions will be graphed in their entirety.

Explanation / Answer

Ans(1):
Given statement is wrong.
absolute value gives two type of outputs. For example
|x|=+x is x>0,
|x|=-x is x<0,
so basically you can have maximum of two solutions.

Ans(2):
Given statement is wrong.
"If a line has a positive slope, it will rise from left to right." is true.
A horizontal line has slope of zero.
A vertical line has undefined slope.

Ans(3):
Given statement is True.
because "and" means common region in both.
"A or B" means region that is in A or B or in A and B both.

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