Which of the following is the solution to the following system of inequalities? let the green region represent the solution set. x+2y< =4 3x-y> 2

See picture attached.

Step-by-step explanation:

To find the solution, graph each equation using the y = mx + b form.

Start by converting to this form.

x + 2y < 4 becomes y < -1/2x +2

3x - y > 2 becomes y < 3x - 2

Then mark each y-intercept. These points are (0,2) and (0,-2).

Using the slope mark the next points at (-1,4) and (1, -1) respectively.

Connect using dash lines since this is not equal to in either inequality.

Test a point no on either line like (-1,-1).

If the inequality holds true, shade the area.

Where the areas overlap is the solution. See picture.

Inequalities are used to represent unequal expressions.

The solution to the inequality is and

The inequalities are given as:

Express both inequalities as equations'

Make y the subject in

Substitute in

Open brackets

Collect like terms

Divide both sides by 7

Substitute 8/7 for x in

Collect like terms

Take LCM

Divide both sides by -1

Read more about inequalities at:

link

lockers 1, 4, 9, 16, 25, 40, and 49 are open

i ran through it by the other answer is wrong

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3