Solving Inequalities

Question

Solve, check, and graph an inequality

x-1<4 (Use x=0)

Answer 1

x-1 < 4

x< 5

open circle at 5, shades to the left

Note that for x=5, the borderline condition

behaves as expected, 5-1<4 --> 4<4 is technically false

for x=0 --> 0-1 < 4 ---> -1 < 4 is true

for x=7 ---> 7-1 < 4 ---> 6<4 is false

so for values x<5, the statement is true

and for values x>=5, the statement is false as expected