147k views
3 votes
Write a system of linear inequalities so the points (1, 2) and (4, −3) are solutions of the system, but the point (−2, 8) is not a solution of the system. PLEASE SOMEONE HELP AND SOLVE IT AS A SYSTEM OF LINEAR EQUATIONS

User Mcotton
by
4.1k points

2 Answers

7 votes
I can’t see it where is it it’s blurry
User Ion Cojocaru
by
3.9k points
7 votes

Answer:

The sample system is given below:

  • y < 5
  • y > x - 8

see the attached for the graph

The points (1, 2) and (4, -3) are in the intersected region but the point (-2, 8) is outside

  • The easy way to get the inequalities to plot the points and add lines to divide the regions where desired point are inside and not required point is outside.
  • I put y = 5 and y = x - 8 lines and shaded the region below y = 5 line and above the other line.
Write a system of linear inequalities so the points (1, 2) and (4, −3) are solutions-example-1
User Dano
by
4.9k points