ICSE Class X Math 2016 Solved Paper

Question : 8

Total: 57

Solve the following inequation, write the solution set and represent it on the number line.
−3(x−7)≥15−7x>‌

x+1

,x∈R

Solution:

Given : −3(x−7)≥15−7x>‌

x+1

‌−3x+21≥15−7x>‌

x+1

‌⇒−3x+21≥15−7x and 15−7x>‌

x+1

‌⇒‌‌4x≥−6 and 45−21x>x+1
‌⇒‌‌x≥−‌

‌ and ‌44>22x
‌⇒‌‌x≥‌

−3

‌ and ‌‌‌2>x
∴ Solution set ={x:x∈R,‌

−3

≤x<2}

Go to Question:

Prev Question

Next Question