QuestionSolve the inequality: $7(x+3) \leq 0$ .

Studdy Solution

STEP 1

Assumptions1. We are solving the inequality $7(x+3) \leq0$ for the variable $x$ .

STEP 2

First, we can simplify the inequality by distributing the7 to both terms inside the parentheses.
$7x +21 \leq0$

STEP 3

Next, we subtract21 from both sides of the inequality to isolate $7x$ on one side.
$7x \leq -21$

STEP 4

Finally, we divide both sides of the inequality by7 to solve for $x$ .
$x \leq -3$ So, the solution to the inequality $7(x+3) \leq0$ is $x \leq -3$ .

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