Rational numbers are closed under addition ,multiplication but not closed under division
Rational number
Closure property
assume two rational numbers say x and y. the results of addition and multiplication operations give a rational number we can say that rational number are closed under addition and multiplication . For example
rational number are not closed under division as 1 and 0 are rational number but 1/0 is not defined but it is closed under addition and multiplication
that is 1+0 = 1 closed under addition
1*0 =0 closed under multiplication
but 1/0 is not defined so it is not closed under division
Hence Rational numbers are closed under addition ,multiplication but not closed under division
learn more of closure property here
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You only flip the inequality sign when you multiply or divide both sides by a negative number.
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Problem 1

The inequality sign flip happens because we divided both sides by -8.
The graph will have a closed circle at 4 with shading to the left.
Three solutions are x = 0, x = 1, x = 2. You can pick any three numbers you want as long as they are 4 or smaller.
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Problem 2

The graph will have an open circle at 13/3 = 4&1/3 = 4.333 approx. The shading is to the left. No inequality sign flip happens because we divided both sides by a positive number.
Your choice of three solutions is correct. You can pick anything smaller than 4.3333
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Problem 3

The solution set is any value 3 or larger. Three solutions are x = 5, x = 6 and x = 7.
The graph has a closed circle at 3 on the number line. The shading is to the right.
Given the surface area of the sphere, for us to obtain the volume we need to get the value of the radius. The surface area of the sphere is given by:
S.A=4πr^2
hence the radius can be calculated as follows;
16=4πr^2
4=πr^2
r=(4/π)^(1/2)
volume of a sphere is given by:
V=4/3πr^3
=4/3*π*(4/π)^(1/2))^3
=32/3 cubic inches
I’m pretty sure it’s a candle but I’m not 100% sorry if I’m wrong!!!
Answer:
Length of the thread = 30 metres
Step-by-step explanation:
Length of the thread in one round of a reel = Circumference of the reel
C = 
Since radius of the reel = 
= 
= 2.5 cm
Circumference of the reel = 2(π)(2.5)
= 5π
= 5×3
= 15 cm
Length of the thread wound in one round around the reel = 15 cm
Since, thread is wound 200 times round a reel, length of the thread
= 200 × 15
= 3000 cm
≈ 30 metres
Therefore, Option (B) will be the answer.