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
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) $$\displaystyle{\left|{7}{x}+{4}\right|}+{11}{>}{2}$$

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>
$$\displaystyle{C}.{\left|{7}{x}+{4}\right|}+{11}{>}{2}$$
$$\displaystyle{\left|{7}{x}+{4}\right|}{>}{2}−{1}$$
$$\displaystyle{\left|{7}{x}+{4}\right|}{>}-{9}$$

Relevant Questions

Solve the equations and inequalities. Write the solution sets to the inequalities in interval notation. $$\displaystyle{\left({x}^{{2}}-{9}\right)}^{{2}}-{2}{\left({x}^{{2}}-{9}\right)}-{35}={0}$$
Solve the equations and inequalities. Write the solution sets to the inequalities in interval notation. $$\displaystyle{9}^{{{2}{m}-{3}}}={27}^{{{m}+{1}}}$$
Solve the equations and inequalities. Find the solution sets to the inequalities in interval notation. $$\displaystyle\sqrt{{{t}+{3}}}+{4}={t}+{1}$$
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. Find the solution sets to the inequalities in interval notation. $$\displaystyle{3}{x}{\left({x}-{1}\right)}={x}+{6}$$
$$\displaystyle{\left|{5}{x}-{1}\right|}={\left|{3}-{4}{x}\right|}$$
Solve the equations and inequalities. Write the answers to the inequalities in interval notation if possible. $$2 < -1 + |4w - 3|$$
Solve the equations and inequalities. Write the answers to the inequalities in interval notation if possible. $$\displaystyle{2}{<}-{1}+{\left|{4}{w}-{3}\right|}$$
$$\displaystyle{a}^{{2}}+{12}+{36}={0}$$
$$\displaystyle{a}^{{2}}+{12}{a}+{36}\leq{0}$$