Question

Solving the following inequation write the solution set and represent it on the number line        -3 ( X - 7 ) ≥ (15 - 7X) > ( X + 1)/3,                                   X€ R.     ​

Answer 1

Answer:

Step-by-step explanation:

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}