Answer:
−4<x≤9
Conjunction
Step-by-step explanation:
-7 < x -3
x -3 ≤ 6
-7 + 3 < ( x - 3) + 3
(x -3) + ≤ 6 + 3
-4 < x -3 + 3
x - 3 + 3 ≤ 9
-4 < x
x ≤ 9
x > -4
x ≤ 9
1. -4x > -16...divide by -4 and change inequality sign
x < -16/-4
x < 4
2. -y/2 < 6 ...multiply both sides by 2
-y < 12 ...multiply both sides by -1 and change inequality sign
y > -12
3. -5a < -20....divide both sides by -5 and change inequality sign
a > -20/-5
a > 4
4. -b/2 > -1....multiply both sides by 2
-b > -2...multiply both sides by -1 and change inequality sign
b < 2
5. -4b < 24....divide both sides by -4 and change inequality sign
b > -24/4
b > - 6
6. -7c < -14....divide both sides by -7 and change inequality sign
c > -14/-7
c > 2
7. -d/3 > -9...multiply both sides by 3
-d > -27...multiply both sides by -1 and change inequality sign
d < 27
The slope of any line perpendicular to the given line is 3
Answer:
The solution would be (5, -2)
Step-by-step explanation:
To use this method, start by multiplying the second equation by -1. Then add the two equations together.
9x + 5y = 35
-2x - 5y = 0
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7x = 35
x = 5
Now that we have the value of x, use it to solve either equation for y.
2x + 5y = 0
2(5) + 5y = 0
10 + 5y = 0
5y = -10
y = -2
