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Question

a) Solve the following inequation and represent the solution set on the number line :
2x55x+4<11,where x ϵ I

b)
Solve the following inequation and represent the solution set on the number line ?
3<122x356,xϵR

[6 MARKS]


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Solution

Each subpart: 3 Marks

a) 2x55x+4 and 5x+4<11,x ϵ I93x and 5x<73x and x<75{3x<75,xϵI}Solution set={3,2,,1,0,1}

b)
Given:3<122x356,xϵR.18<34x5615<4x;4x8x<154;x2x<3.75;x2Solution set={2x<3.75,xϵR}



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