a.
To check:whether the given statement is always, sometimes, or never true.
a.
Answer to Problem 49HP
Never.
Explanation of Solution
Given:
The given statement is “Both x- coordinate and y- coordinate of a point in quadrant I are negative.
Calculation:
In quadrant I, all coordinates are positive. Therefore, both x- coordinate and y- coordinate of a point in quadrant I are positive.
Now, take an example, for coordinates
In labelling the quadrant,
The first quadrant is upper right section,
The second quadrant is upper left section,
The third quadrant is lower left section,
The forth quadrant islower right section.
Thus, the coordinate is located in 1st quadrant.
Hence, the statement is false.
b.
To check: whether the given statement is always, sometimes, or never true.
b.
Answer to Problem 49HP
Sometimes.
Explanation of Solution
Given:
The given statement is "The x- coordinate of a point that liesx- axis is negative.
Calculation:
Both coordinate point lies on the x- axis.
The x- coordinate in quadrant I and II are positive whereas in III and IV are negative. So sometimes x- axis is positive or sometimes x- axis is negative.
Now, take an example, for coordinates
Chapter 2 Solutions
Pre-Algebra, Student Edition
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