Question

3. Find the solution set for each of the following inequations.
(a) x +4<-1

(b) 3x – 1 < 5

(c) 3/5x <1

(d) 2-X > 0

(e) 4-7x <-3

(f)1-2x > 2

(g) -8 >5x-3

(h) 3x - 7>-14

(i) 10-2x < 4


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Answer 1

Answer:  

a)x+4 <-1

x< -1-4

x<-5

so x= -6,-7,-8,-9,-10,-------------

b) 3x-1 < 5

3x < 5+1 =6

x< 6/3

x< 2

x=1,0,-1,-2---------------

c) 3/5x <1

x< 1/(3/5)

x < 5/3

and 5/3=1+2/3

x cab be : 4/3,3/3,2/3,-----------------

d) 2-x>0

2>x  

or x< 2

x=1,0,-1,-2---------------

(e) 4-7x <-3

-7x < -3-4

-7x < -7

7x>7

x>1

x=2,3,4---------------------------

(f)1-2x > 2

-2x > 2-1

-2x > 1

2x <-1

x <-1/2

x=-2/2,-3/2-----------------------

g) -8 > 5x-3

-8+3 > 5x

-5 >5x

-1 > x

x<-1

x=-2,-3,-4,-------------

(h) 3x - 7>-14

3x> -14+7

3x >-7

x>-7/3

x=-6*3,-5/3-4/3,------------0,1/3,2/3,-------------

(i) 10-2x < 4

-2x< 4-10

-2x < -6

2x> 6

x>3

x=4,5,6,7-----