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3) 4y ≥ -16
2x ≤ 4
x-2y ≥ 6

4) 2x+3y ≥ -7
x-3y ≤ 28
x+6y ≤ -26

Solve the system of linear inequalities

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

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)

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: