A.5
The student will solve multistep linear inequalities in two variables,
including
a) solving multistep linear inequalities algebraically and graphically;
b) justifying steps used in solving inequalities, using axioms of inequality
and properties of order that are valid for the set of real numbers and its
subsets;
c) solving real-world problems involving inequalities; and
d) solving systems of inequalities.
Solve the following inequality
1. 2(x +3) ≤ 18
2. 3(x-3) ≥ 21
3. -2(x-3) < 3x +2
4. -2x + 6 > 5x – 41
5. -3(x+3) < -4x +18
6. -4(x +6) ≤ 2x -18
7. 5(x +2) -2x > 2x-2
8. -2(x-10) > -2x + 20
9. 6x - 11 – 13x < 7 - 5x
Graph the following inequalities
10.
y > 2x +1
12. y <
x -3
11. y ≥ -2x +2
13. 2x + 3y < 18
14. 3x - y ≥ -3
15. 8x - 4y < 20
16. Mr. Barwell to graph two inequalities,
17.Jeremiah has to graph the two inequalities,
Which region of the graph needs to be shaded?
Which region of the graph needs to be shaded?
2x + y > 3
y ≥ 2x – 9
-3x + 2y ≥ 8
6x – 9y < 18
18. Using the inequalities shown, create a system of two inequalities
that could be represented by this graph. You may circle them.
y < x +3
3x + 5 ≤ y
x +3
3x + 5 < y
y>
y ≤ x +3
y ≥ x +3
3x + 5 > y
3x + 5 ≥ y
19. Using the inequalities shown, create a system of two inequalities
that could be represented by this graph. You may circle them.
y > x +4
y≤
x +4
y ≥ x +4
y < x +4
4x - 2 < y
4x - 2 ≥ y
4x - 2 > y
4x - 2 ≤ y
20. Using the inequalities shown, create a system of two inequalities
that could be represented by this graph. You may circle them.
y ≥ x +6
2x - 2 ≤ y
x +6
2x - 2 > y
y≤
y > x +6
y < x +6
2x -2 < y
2x - 2 ≥ y