Answer:
Rational and integer i.e option A and C
Answer:
2
Offmind's Step-by-step explanation:
The Mode of a data set (<em>line plot in this case</em>) is the number which occurs most often. The line plot here shows the most x's on the number 2 than any other number so the mode is in fact, 2.
Bonus Fact: In another case, if there had been two numbers with the same amount of x's then those would both be considered the mode!
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-<em>Offmind</em>
<span>2x − 3 < x + 2 </span>
<span>∴ x − 3 < 2 </span>
<span>∴ x < 5 </span>
<span>x + 2 ≤ 3x + 5 </span>
<span>∴ 2 ≤ 2x + 5 </span>
<span>∴ -3 ≤ 2x </span>
<span>∴ -3/2 ≤ x </span>
<span>-3/2 ≤ x < 5</span>
The question says that the line is parallel to the line above, so it is horizontal. When the line is horizontal it will be a 'Y=' Then, you take a look at the y axis and check to see what part of the axis the line is going through. Therefore, you can figure out that the awnser is C. I hope this explanation helps!