Solve the equations and inequalities. Write the answers to the inequalities in interval notation if possible. (A) |7x+4| + 11 = 2 (B) |7x + 4| + 11 < 2 (C) |7x + 4| + 11 > 2

Solve the equations and inequalities. Write the answers to the inequalities in interval notation if possible. (A) |7x+4| + 11 = 2 (B) |7x + 4| + 11 < 2 (C) |7x + 4| + 11 > 2

Question
Equations and inequalities
asked 2021-02-25
Solve the equations and inequalities. Write the answers to the inequalities in interval notation if possible. (A) \(\displaystyle{\left|{7}{x}+{4}\right|}+{11}={2}\)
(B) \(\displaystyle{\left|{7}{x}+{4}\right|}+{11}{<}{2}\)</span>
(C) \(\displaystyle{\left|{7}{x}+{4}\right|}+{11}{>}{2}\)

Answers (1)

2021-02-26
\(\displaystyle{A}.{\left|{7}{x}+{4}\right|}+{11}={2}\)
\(\displaystyle{A}.{\left|{7}{x}+{4}\right|}+{11}={2}−{11}\)
\(\displaystyle{A}.{\left|{7}{x}+{4}\right|}=-{9}\)
\(\displaystyle{B}.{\left|{7}{x}+{4}\right|}+{11}={<}{2}\)</span>
\(\displaystyle{\left|{7}{x}+{4}\right|}{<}{2}−{11}\)</span>
\(\displaystyle{\left|{7}{x}+{4}\right|}{<}−{9}\)</span>
\(\displaystyle{C}.{\left|{7}{x}+{4}\right|}+{11}{>}{2}\)
\(\displaystyle{\left|{7}{x}+{4}\right|}{>}{2}−{1}\)
\(\displaystyle{\left|{7}{x}+{4}\right|}{>}-{9}\)
0

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