178k views
3 votes
|2x-5|<1

i need help pleaseeeeee

|2x-5|<1 i need help pleaseeeeee-example-1
User Cvazac
by
4.3k points

1 Answer

2 votes

Answer:

x < 3 or x < 2

Explanation:

|2x-5|<1

Using compound Inequality

(2x - 5) <± 1

Hence,

a) 2x - 5 < -1

2x < -1 + 5

2x < 4

x < 4/2

x < 2

b) 2x - 5 < +1

2x < 1 + 5

2x < 6

x < 6/2

x < 3

Therefore, x < 3 or x < 2

User MrKurt
by
4.3k points