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## Answers

∣5−2x∣<1(dividing both side by 4)

**1st case if 5−2x>0(basically means its positive )**

*there are two case to consider now*

so

we can take it out from the mod as it is

5-2x<1

-2x<-4

x>2(dividing both side by two and multiplying both by -1)........

**multiplying with -1 changes inequality**

x>2........1

now if5−2x<0

x>2........1

now if

**then we have to take it out from the mod followed by negative sign**

-(5−2x)<1

-(

**2x-5<1**

**2x<6(adding 5 both side)**

x<3...........2

x<3...........2

*Combining 1 and 2 we get*

3>x>2