Question

Solve and find the solution set of $5x-6\ge 9$ and $6x>36$

• A. $\{x=3\}$
• B. $\{x\ge 3\}$
• C. $\{x\ge 6\}$
• D. $\{x>6\}$

Answer 1

The correct option is D

$\{x>6\}$

Given $5x-6\ge 9$;

$5x\ge 9+6$

$5x\ge 15$

Therefore $x\ge 5$

Second Equation

$6x>36$
Hence $x>6$

Therefore the solution set will be x > 6 (which will be the common points for both the equation)