The set A satisfying the given inequality is A = (-
, -10].
<h3>What are some properties of an inequality relation? </h3>
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.
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<h3>Question </h3>
Find the set A such that for x ∈ A
∀y ∈ B = {y ∈ R | -2 ≤ y ≤ 7}.
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Given that line PN is a perpendcular bisector of line AB, then angles APN and BPN are equal to 90 degrees each.
Also, given that line PN is an angle bisector to angle CPD and angle CPD measures x, then the measure of angle DPN is
.
Thus, the measure of angle DPB = angle BPN - angle DPN
Therefore,
Answer:
x is positive, and y is negative
Step-by-step explanation:
-60° is a fourth-quadrant angle, where x is positive and y is negative.
Answer is C.
Since each side is 68/4 = 17 cm ( the hypotenuse of each right triangle), and half of the shorter diag is 8, then 17^2-8^2 = a^2
225=a^2
15 = a, which is half of the larger dish, so the larger diag is 30cm.
Answer:
18.84
Step-by-step explanation:
Circumference = 2πd
where d = diameter
the shape given has a diameter of 6
to find the circumference we simply plug in the value of the diameter as well as π into the formula
formula : C = πd
π = 3.14 and d = 6
C = 3.14(6) = 18.84cm
