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Mathematics
Linear inequalities in one variable
Solve the inequality. Write the solution set in interval notation.
\[\]\[\left| { - 8x + 9} \right| < 6\]
A. \[\left( { - \infty , - \dfrac{{17}}{8}} \right)\bigcup {\left( { - \dfrac{{15}}{8}, - \infty } \right)} \]
B. \[\left( {\dfrac{3}{8}, - \dfrac{{15}}{8}} \right)\]
C. \[\left( {\dfrac{3}{8},\dfrac{{15}}{8}} \right)\]
D. \[\left( { - \infty ,\dfrac{3}{8}} \right)\bigcup {\left( {\dfrac{{15}}{8},\infty } \right)} \]

Mathematics
Linear inequalities in one variable
The set of all real numbers $x$ for which ${x^2} - \left| {x + 2} \right| + x > 0$ is
A. $\left( { - \infty , - 2} \right) \cup \left( {2,\infty } \right)$
B. $\left( { - \infty , - \sqrt 2 } \right) \cup \left( {\sqrt 2 ,\infty } \right)$
C. $\left( { - \infty , - 1} \right) \cup \left( {1,\infty } \right)$
D. $\left( {\sqrt 2 ,\infty } \right)$
Mathematics
Linear inequalities in one variable
How do you solve and graph the compound inequality $ 2 < x <7 $ and $ 2x > 10 $ ?
Mathematics
Linear inequalities in one variable
How do you solve \[x – 3 < 3x – 7\] ?
Mathematics
Linear inequalities in one variable
How do you solve \[x - 5 < 8\]?
Mathematics
Linear inequalities in one variable
Solve the inequality for real $x$: $37 - (3x + 5) \geqslant 9x - 8(x - 3)$
Mathematics
Linear inequalities in one variable
How do you solve \[3x > - 6\]?
Mathematics
Linear inequalities in one variable
How do you solve \[\dfrac{1}{4}m \leqslant - 17\]?
Mathematics
Linear inequalities in one variable
Solve the inequality for real $x$:
$\dfrac{x}{3} > \dfrac{x}{2} + 1$.
Mathematics
Linear inequalities in one variable
Solve the inequality \[\dfrac{{3x}}{5} - \dfrac{{\left( {2x - 1} \right)}}{3} > 1\] , \[x \in R\] and represent the solution set on the number line.

Mathematics
Linear inequalities in one variable
Solve \[x - 3\left( {2 + x} \right) > 2\left( {3x - 1} \right)\] , \[x \in \left\{ { - 3, - 2, - 1,0,1,2} \right\}\]. Also represent its solution on the number line.
Mathematics
Linear inequalities in one variable
Solve $5x - 3 < 7$ , when $x$ is an integer.
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