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

Mathematics

1 answer:

JulsSmile [24]3 years ago

7 0

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 $$\\\textup{$x$ can be any real number less than or equal to 3.}\\$ \iff x \in R^- \cup \{a : 0 \leq a \leq 3\} $$

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