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aliya0001 [1]
4 years ago
11

jay thinks that the inequality k< 3 implies the inequality k squared < 9 but val thinks otherwise. Who is right and why

Mathematics
1 answer:
telo118 [61]4 years ago
7 0

Answer:

  Val is right

Step-by-step explanation:

One of the solutions to k < 3 is k = -4. When you square that, you get ...

  k² = (-4)² = 16

which is not less than 9.

_____

k < 3 and k² < 9 will have the same solution set for |k| < 3, but their solution sets will differ for k ≤ -3.

When performing operations on inequalities, one needs to be aware of the order preserving/changing effects of the operation. Whether squaring a value preserves order or not depends on the relative magnitudes:

  • 2 > 1; 2² > 1²
  • -1 < 1; (-1)² = 1²
  • -2 < 1; (-2)² > 1²
  • -2 < -1; (-2)² > (-1)²
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the lengths of the side of a rectangular window have the ratio 1.7 to 1 the area of the window is 2,720 sqaure inches what are d
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Step-by-step explanation:

The formula for calculate the area of a rectangle is:

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You know that the ratio  of the sides of the rectangular window is:

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Knowing that the area of the window is 2,720 square inches, you can know that:

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