100 points!!!! Will give brainliest , thanks ,and 5 star rating to the good answers to this questions! please Help! Show all wor
k or else! Easy!!!!!
3) 4y ≥ -16
2x ≤ 4
x-2y ≥ 6
4) 2x+3y ≥ -7
x-3y ≤ 28
x+6y ≤ -26
Solve the system of linear inequalities
2 answers:
Answer:
3. The solution is the region below the line y = x/2 - 1, above y = -4 and towards left of x = 2. (All bold)
4. The solution is the region above the lines y = -2x/3 -7/3 and y = x/3 - 28/3 and below the line y = -x/6 - 13/3. (All bold)
Step-by-step explanation:
3) 4y ≥ -16
y ≥ -4
2x ≤ 4
x ≤ 2
x-2y ≥ 6
2y ≤ x - 2
y ≤ x/2 - 1
The solution is the region below the line y = x/2 - 1, above y = -4 and towards left of x = 2. (All bold)
4) 2x+3y ≥ -7
3y ≥ -2x -7
y ≥ -2x/3 -7/3
x-3y ≤ 28
3y ≥ x - 28
y ≥ x/3 - 28/3
x+6y ≤ -26
6y ≤ -x - 26
y ≤ -x/6 - 13/3
The solution is the region above the lines y = -2x/3 -7/3 and y = x/3 - 28/3 and below the line y = -x/6 - 13/3. (All bold)
Answer:
see below
Step-by-step explanation:
3) 4y ≥ -16
2x ≤ 4
x-2y ≥ 6
First inequality
Divide by 4
4y/4 ≥ -16/4 y ≥ -4
second inequality
Divide by 2
2x ≤ 4 2x/2 ≤ 4
/2 x ≤ 2
Third inequality
Subtract x from each side
x-2y ≥ 6 x-2y -x ≥ -x +6 -2y ≥ -x +6
Then divide by -2 remembering to flip the inequality
-2y/-2 ≤ (-x+6)/-2 y ≤1/2x -3
Graph is below
4) 2x+3y ≥ -7
Putting each in line form
3y ≥ -7 -2x
y≥ -2x/3 -7/3
Second
x-3y ≤ 28
-3y≥ -x+28
Divide and flip since it is a negative
y ≤ 1/3x -28/3
Third
x+6y ≤ -26
6y ≤ -x-26
y ≤ -1/6x -26/6
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