Answer:
1 < x < 4 . . . . {x | x < 4 <u>and</u> x > 1}
Step-by-step explanation:
We want to write the answer as a compound inequality, if possible. As it is written, we can solve each separately.
x + 1 < 5
x < 4 . . . . . . . subtract 1
__
x -4 > -3
x > 1 . . . . . . . add 4
So, the solution is ...
(x < 4) ∩ (x > 1) . . . . . . the intersection of the two solutions
As a compound inequality, this is written ...
1 < x < 4
_____
<em>Comment on the problem</em>
The two answer choices shown don't make any sense. You might want to have your teacher demonstrate the solution to this problem.
Think of the greater than sign as an equals sign. Then, you solve for m
Step-by-step explanation:
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Answer:
x = 12 and y = 23
So what we are saying is that the coordinates of Tina’s house down the street is (12,23)
Step-by-step explanation:
What this question is actually telling us is that the gas station divides the segment from George’s home to Tina’s house in the ratio 3 to 7; we now want to find the coordinates of Tina’s house which is the end of the line segment.
Mathematically, to get this division, we would have employed the use of the internal division formula;
Coordinates of gas station = (mx2 + nx1)/(m + n) , (my2 + ny1)/(m + n)
m = 3 , n = 1
(x1,y1) = (2,3)
(x2,y2) = (x,y)
So therefore;
(5,9) = 3(x) + 7(2)/3+7) , 3(y) + 7(3)/(3+ 7)
(5,9) = (3x + 14)/10, (3y + 21)/10
Hence;
(3x + 14)/10 = 5
3x + 14 = 10(5)
3x + 14 = 50
3x = 50-14
3x = 36
x = 36/3
x = 12
Also;
(3y + 21)/10 = 9
3y + 21 = 9(10)
3y + 21 = 90
3y = 90-21
3y = 69
y = 69/3
y = 23
Answer: 1. y=4
Step-by-step explanation:
for 1. if x = -2 then the problem becomes -2(y) = -8 and -2 x 4 = -8
