The required range of the x in the inequality [tex]\left|x+3\right|-2\le0[/tex] is [-1, -5]
and the graph is attached below
What are inequalities?
Inequality, can be define as when the equations contain [≤ , ≥ <, >] is called inequalities.
Simplifying
[tex]\left|x+3\right|-2\le0[/tex]
[tex]|x+3|\leq 2\\-2\geq x+3\leq2 \\-5\geq x \leq-1[/tex]
Thus, the required range of x in inequality [tex]\left|x+3\right|-2\le0[/tex] is [-5, -1].
learn more about Inequality here:
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