harleyandpope90
16.07.2019 •
Mathematics
Consider the following sets.
u = {all real number points on a number line}
a = {solutions to the inequality 3x+4> 13}
b = {solutions to the inequality 1/2x+3< 4}
for which values of x is a u b =ø
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Ответ:
[2,3] is the answer
assuming you didn't have equal symbols under the inequality signs, you know and .
Step-by-step explanation:
Ok let's solve 3x+4>13 or 1/2 x+3<4.
Let's begin with 3x+4>13.
3x+4>13
Subtract 4 on both sides:
3x>9
Divide both sides by 3:
x>3
Now the other 1/2 x +3<4.
Subtract 3 on both sides:
1/2 x<1
Multiply both sides by 2:
x<2
So we have x>3 or x<2
If we graph this, this will give us better idea of what is and isn't a solution.
~~~~~~~~O x<2
O~~~~~~ x>3
------------(2)---------(3)---------
The only numbers not included are between 2 and 3 (inclusive).
So if x is between [2,3] then A or B has no solution.
Ответ:
Let's simplify
91st(5)−14−33
Step-by-step explanation:
step-by-step
=455st−47.
I hope my answer helped