Inequalities

Question 1

Solve for -ax+b>c

Answer 1

1. -ax>c-b

2. x

Question 2

a<b></b>

Answer 2

1. Solve c>b

2. Solve a<b></b>

Question 3

Difference < vs ≤ in a graph

Answer 3

≤ line is _____ < line is ———-

Question 4

Given two equations find the system of inequalities (answer choices are graphs)

Answer 4

1. Find the line based on the first equation
   a. pay attention to slope and y-int
2. Find the line based on the second equation
   a. pay attention to slope and y-int
3. Cancel answer choices that does not have the correct lines
4. Is the sign after y ,≤ or ≥ in eq 1? Mentally figure out which part of the graph is shaded
5. Cancel answer choices that contain a part of the graph shaded which does not satisfy eq. 1
6. Is the sign after y ,≤ or ≥ in eq 2? Mentally figure out which part of the graph is shaded
7. Cancel answer choices that contain a part of the graph shaded which does not satisfy eq. 2
8. Find an answer choice that satisfied both eq. 1 and eq. 2

Question 5

Find the x where the system of inequalities intersect at (usually asks what is the min./max. # of x possible)

Answer 5

Solve it like solving a regular equation without the signs

Question 6

Find the quadrants that satisfy a system of equations

Answer 6

1. Quickly sketch a cross graph w/ 4 quadrants
2. Draw and shade the approx. of eq1
3. Draw and shade the approx. of eq2
   * for 2 and 3, pay attention when exactly the line crosses the axis’*
4. Find the overlapping region and what quadrants it is present at
5. Mark answer, mention it as 0 in sketchpad and revisit the question with a graphing calculator later