A construction worker places a compass at various positions on a wall until the compass needle deflects to one direction. What i
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Answer:
see the explanation
Step-by-step explanation:
Let
D -----> Danielle's age
C -----> Counselor's age
we know that
----> equation A
----> equation B
substitute
equation A in equation B
----> equation that can be used to find Danielle's age
Solve for D
<em>Find the value of C</em>
----> equation that can be used to find Counselor's age
substitute the value of D
therefore
Danielle's age is 7 and Counselor's age is 21
The set A satisfying the given inequality is A = (-, -10].
Following are some facts which are true for an inequality relation:
- Equal numbers can be added or subtracted from both sides of an inequality without affecting the inequality sign.
- The Inequality sign is unchanged if both sides are multiplied or divided by a positive number, but when multiplied or divided by a negative number the inequality sign is reversed.
Since y ∈ B, -2 ≤ y ≤ 7. So,
The set {-x | inequality (1) holds ∀ y ∈ B} is [10, ) i.e.
10 ≤ -x ≤ .
Multiplying -1 throughout gives
-10 ≥ x ≥ -.
x, thus, lies in the range A = (-, -10}.
Learn more about the inequality here.
Disclaimer: The question was incomplete. Please find the full content below.
<h3>Question </h3>Find the set A such that for x ∈ A
∀y ∈ B = {y ∈ R | -2 ≤ y ≤ 7}.
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