The solution for the inequality (x − 1)(x + 2) < 0 if x-1 < 0 and x+2 > 0 and x ∈ (-2, 1)
<h3>What is inequality?</h3>
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
(x -1)(x + 2) < 0
The product of (x-1) and (x+2) is less than zero it means:
x-1 < 0 and x+2 > 0 or
x-1 > 0 and x+2 < 0
Solve for first case:
x-1 < 0 and x+2 > 0
x < 1 and x > -2
x ∈ (-2, 1)
Solve for the second case:
x > 1 and x < -2
There will be no intersection region, so no solution in this case.
Thus, the solution for the inequality (x − 1)(x + 2) < 0 if x-1 < 0 and x+2 > 0 and x ∈ (-2, 1)
Learn more about the inequality here:
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6.5*6.5=42.25
1.5*1.5=2.25
(6.5)^2-(1.5)^2=42.25-2.25=40
Sam wants to build a fence splitting her square garden down the middle, diagonally. the width of the original square is 3 yards, and the length is 4 yards. how long should the separating fence be?
answer: 5 yards, as 3^2 + 4^2 = 5^2
It can be helpful to remember that "%" is just a shorthand way to write "/100" (divided by 100, or per 100, or per cent). ("Cent" is often used to refer to 100 or 1/100. A "cent" is 1/100 of a dollar, or 1/100 of an acre, for example. A <em>cent</em>ury is 100 years.)
Make the denominator of your fraction be 100. Multiply numerator and denominator by 20/20.
(2/5)×(20/20) = 40/100 = 40%
You can also get there via decimals.
... 2/5 = 0.4 = 0.40 (40 hundredths) = 40/100 (40 hundredths) = 40%
Or, you can multiply by 100%.
... (2/5)×(100%) = (200/5)% = 40%