18. match the system of inequalities to a region in the picture

x + 2y <= 8
3x - 2y <= 0

22. solve the system of linear inequalities graphically

3x + 4y <= 12
y >= -3

32. solve the system of linear inequalities graphically, find the coordinates of each corner points, and indicate whether the solution region is bounded or unbounded

3x + 4y <= 24
x >= 0
y >= 0

38. solve the system of linear inequalities graphically, find the coordinates of each corner points, and indicate whether the solution region is bounded or unbounded

18. match the system of inequalities to a region in the picture

x + 2y <= 8
3x - 2y <= 0

In this question, and in all the other ones, I'm first going to put the inequalities in slope-intercept format. In the second inequality, notice that you have to switch the direction of the sign when dividing both sides by -2.

x + 2y <= 8 3x - 2y <= 0
2y <= -x + 8 -2y <= -3x
y <= (-1/2)x + 4 y >= (3/2)x

For the first inequality, you'd shade below the line with a slope of -1/2 and a y-intercept of 4. For the second inequality, you'd shade below the line with a slope of 3/2 and a y-intercept of 0.

The region that satisfies both these conditions is region ...

... 6 28 Graph the system of inequalities. x + 2y ≤ 10. 2x + y ≤ 10. x ≥ 0. y ≥ 0. 1. Determine whether the given numbers are solutions of the inequality. ...

... y > 2x. 24) Graph the inequality on a plane. 8x -7 ≤ 15x + y. 27) Graph the system of inequalities. y ≥ -3 x≥4. 28) Graph the system of inequalities. ...

... article should support the position you will have in relation to the inequality you wish to tackle if you want to go beyond the 'new inequalities' discussed in ...

What is the difference between the graph of a linear equation and a linear inequality? ... Now choose a linear inequality of the form 5 < 2x - 8 or 5 > 2x - 8. ...

... is comprised of step-by-step explanations of solving and solving and graphing system of inequalities. It also shows how to write the inequality in interval ...

Some authorities claim that globalization has led to greater income inequality in the US and globally while others claim that inequality is due to improvements ...

Society, Education, and Health. Many Americans believe that access to a good education is all that is needed to overcome inequality in US society. Do you agree? ...

... 10 Graphing linear inequalities. Graph each linear inequality y? -3 + 4 #20 x<0. ... 10 Graphing linear inequalities. Graph each linear inequality. y≥ -3 + 4. ...