Question

solve the inequality $x + 3 \leq -1$.
$x + 3 \leq -1$
$-3 - 3$
$x \leq -4$
you subtracted the same value from both sides of the inequality.
that means $x \leq -4$ is the solution set of $x + 3 \leq -1$.
test a value included in the solution set.
$-4 \leq -4$ true
$x + 3 \leq -1$
$? + 3 \leq -1$ substitute -4 for $x$.

Explanation:

Step1: Isolate the variable

Subtract 3 from both sides of the inequality \(x + 3\leq - 1\).
$$x+3-3\leq -1 - 3$$

Step2: Simplify

Simplify the left - hand side \(x+3 - 3=x\) and the right - hand side \(-1-3=-4\).
$$x\leq - 4$$

Answer:

The solution of the inequality \(x + 3\leq - 1\) is \(x\leq - 4\)