Question

3/4 (x-7)>1/2 (3-x),x€N.​

Answer 1

Answer:

Given: −3(x−7)≥15−7x>

3

x+1

−3x+21≥15−7x>

3

x+1

⇒−3x+21≥15−7x and 155−7x>

3

x+1

⇒4x≥−6 and 45−21x>x+1

⇒x≥−

2

3

and 44>22x

⇒x≥

2

−3

and 2>x

∴ Solution set ={x:x∈R,

2

−3

≤x<2}

Answer 2

Given: −3(x−7)≥15−7x>3x+1

−3x+21≥15−7x>3x+1

⇒−3x+21≥15−7x and 155−7x>3x+1

⇒4x≥−6 and 45−21x>x+1

⇒x≥−23 and 44>22x

⇒x≥2−3 and 2>x

∴ Solution set ={x:x∈R,2−3≤x<2}

I HOPE IT'S HELPFUL FOR YOU