The solution set for the system of linear inequation : \( 2x+4\ge 0 \) and \( x-3\le 0 \) is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \( [-2,3] \)
Each inequality gives a bound on \( x \):
\( 2x+4\ge 0\ \Rightarrow\ x\ge -2 \)
\( x-3\le 0\ \Rightarrow\ x\le 3 \)
The solution set of the system is the set of values satisfying both, which is \( [-2,3] \).