Question

Foundations of mathematics II
Ms Moon
Td graph a linear inequality wita Ax + By 20 or Ax + By so, the inequatlity must be ret
written in the form y 2 mx + or y s mx +b.
Example 4. Graph the solution set for cach linear inequality on a Cartesian plane.
a) {(x,y)|3x - 6y = 0,r & Rye R]
b) {kx, y)|4x + 2y > 0,8€ RAR]
d) {(x,y)|6x + 3y = 0,x€ R, y + R)
c) {(x,y)/41- By < 0,3 € R, y + R)​

Answer 1

Solving single linear inequalities follow pretty much the same process for solving linear equations. We will simplify both sides, get all the terms with the variable on one side and the numbers on the other side, and then multiply/divide both sides by the coefficient of the variable to get the solution.