Question

What is a solution to 4x+6<(with a line under it ) 18

Answer 1

Answer:

$\textbf{ x \in (-\infty, 3] }$

Step-by-step explanation:

$\textup{Given:}\\ 4x + 6 \textup{Subtracting 6 from both the sides }\\ 4x \leq 18 - 6 \hspace{5mm} (=12) \\\textup{Dividing by 4 on both the sides: \hspace{15mm} [Note that the sign of the inequality changes only when we divide it by a negative number]}\\ x \leq 3 \\\textup{ x can be any real number less than or equal to 3.}\\ \iff x \in R^- \cup \{a : 0 \leq a \leq 3\}$