Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2.

The answer to your question is below.

Step-by-step explanation:

Given                               - 8 < 2

Multiply or divide by 2

                                      - 8 (2) < 2 (2)

                                          - 16 < 4

                                     - 8 /2 < 2 / 2

                                         -4 < 1

When we multiply or divide the inequality by 2, the inequality do not change.

Multiply or divide by -2

                                     - 8 (-2) < 2(-2)

                                         16  > -4

                                   - 8 / -2 > 2 / - 2

                                          4 > -1

When we multiply or divide the inequality by -2, the inequality changes

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3