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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Answer:
-16d+24
Step-by-step explanation:
=> -8(2d-3)
Expand the brackets and use distributive property.
=> (-8 × 2d)+(-8 × -3)
Multiply
=> (-16d) + (24)
=> -16d+24
Lets name the number of guppies in the tank as x
number of goldfish in the tank is 6 times the amount of guppies.
since the amount of guppies is x, then number of goldfish is 6 * x = 6x
therefore total amount of guppies and goldfish is x + 6x
there are total of 21 fish
therefore x + 6x = 21
7x = 21
x = 21/7
x = 3
therefore number of guppies = 3
number of goldfish -6x and x = 3 therefore 3 x 6 = 18 goldfish
we are asked to find how many more goldfish than guppies
we have to find the difference
18 - 3 = 15
there are 15 more goldfish than guppies
Answer:
4ft and 10ft
Step-by-step explanation:
you got to figure out which 2 numbers when multipled make 40 and when added make and then multiplied by 2 make 28
Answer:
-2
Step-by-step explanation:
-3+8x-5=-8
8x = -16
x = -2