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What is the difference between set notation and interval ... - Socratic
2018年6月25日 · For example, if your set is composed by all the numbers smaller than 5, or between 10 and 20, or greater than 100, you write the following union of intervals: (-\infty,5) \cup (10,20) \cup (100,\infty) This same set can be written in set notation: \{x \in \mathbb{R} | x < 5 " or " 10 < x < 20 " or " x>100 \} Finally, note that if the ...
How do you know when to use brackets or parenthesis in
2015年3月26日 · Please see below. Use a bracket (sometimes called a square bracket) to indicate that the endpoint is included in the interval, a parenthesis (sometimes called a round bracket) to indicate that it is not. Brackets are like inequalities that say "or equal" parentheses are like strict inequalities. (3,7) includes 3.1 and 3.007 and 3.00000000002, but it does not include …
When do you use the brackets [ x, y ] and when do you use the ...
2018年6月20日 · It tells you whether the end point of the interval is included The difference is whether the end of the interval in question includes the end value or not. If it includes it, it is called "closed", and is written with a square bracket: [ or ]. If it doesn't include it, it is called "open", and is written with a round bracket: ( or ). An interval with both ends open or closed is called an open ...
How do you find the domain and range of a circle? - Socratic
2018年7月13日 · (x-a)^2+(y-b)^2=r^2 where the centre is (a,b) and the radius is r The graph is a circle so all the points are enclosed in it The domain is the values for x so you subtract the radius from the centre coordinate and you add the radius to it The range is the values for y so you do the same to the y coordinate If you use (x+2)^2+(y-4)^2=25 The centre is (-2,4) radius is 5 Domain …
How do you find the domain and range of a function in interval …
2014年11月18日 · All polynomials have a domain of "All Real Numbers". In interval notation, we write: #(-\infty,\infty)#. On the horizontal number line, that covers all numbers from left to right (your x-axis). Polynomials with ODD degree (highest power of x) stretch their way from low to high through all real numbers in the vertical direction.
How do you solve and write the following in interval notation:
2017年7月21日 · Solution To Inequality 1 #-4x < -16# We will divide each side of the inequality by #color(blue)(-4)# to solve for #x# while keeping the inequality balanced.
How do solve x^2>4 and write the answer as a inequality and …
2018年1月6日 · x<-2 or x>2 Interval notation: (-oo,-2)uu(2,oo) To solve, all we need to do is take the square root of both sides to get x by itself: sqrt(x^2)>sqrt(4) |x|>2 Which is true either when x>2 or when x<-2 To express the answer in interval notation,we think about which interval satisfies this inequality. It's simply all numbers less than -2, and all numbers greater than 2. …
How do you write x > -17 as a set notation and interval ... - Socratic
2018年8月14日 · How do you write #x > -17# as a set notation and interval notation? Algebra Linear Inequalities and Absolute Value Inequality Expressions. 1 Answer
How do solve #(x+3)/(x-1)>=0# and write the answer as a
2017年6月13日 · Solution for (x+3)/(x-1) >= 0 is the region (-oo,-3]uu[1.oo) i.e. {x:x<=-3 or x>=1} The sign of (x+3)/(x-1) depends on the values (x+3) and (x-1) take at any point. It is apparent that change of sign will appear around x=-3. Observe before that (x+3) is negative and after that it is positive. Similarly, before x=1, (x-1) is negative and after that it is positive. Now, leave the …
How do you solve and write the following in interval notation:
2017年3月9日 · (2,+oo) x>2" is in solution form" and tells us that x cannot equal 2 but can take values greater than 2. "this is expressed in interval notation as "(2,+oo) The parenthesis on both ends of the interval indicates that x cannot equal 2" or "+oo but any value in between them. "If the solution was "x>=2" then" [2,+oo) would be the solution in interval notation. "the "[" indicates …