Answer:
{x | -1 < x ≤ 2}
Step-by-step explanation:
Interval given in the notation of (a, b) denotes,
Upper limit at 'b' and lower limit at 'a'
Sign () denotes the interval between a and b exclusive of the numbers a and b.
Interval given as [a, b] represents,
a = lower limit
b = higher limit
Notation of [] show the interval inclusive of these numbers.
Given set in the question is (-1, 2]
Here (-1) is the lower limit and 2 is the upper limit.
(] notation shows exclusive of (-1) and inclusive of 2.
Therefore, solution set in set-builder notation will be {x | -1 < x ≤ 2}
Answer:
Step-by-step explanation:
Convert millimeters to meters:
At a price of $8.20 per meter, the total price would be
The probability that either die is even is 1/2 so the probability that both dies will be even on a single roll of both is:
(1/2)^2=1/4
Okay. So Daniella wants to have a take-home pay of at least $51,000, but she ahs to pay 15% income tax, which means 15% of what she earns will be gone. To find out the least amont of salary she needs to make, we can write and solve a proportion. Set it up like this:
51,000/x = 85/100
This is because we are looking for the amount of money made overall, but the $51,000 is only part of the salary earned, and even though you pay 15% income tax, you still take home 85% of your salary. Cross multiply the valyes in order to get 5,100,000 = 85x. Divide each side by 85 to isolate the variable. 5,100,000/85 is 60,000. Let's check this by multiplying by 85% (0.85). 60,000 * 0.85 is 51,000. There. x = 60,000. Daniella will need to make at least $60,000.