State the inequality for x that is represented on the following number lines:
Plot the following inequalities on a number line:
x \geq 0
x \leq 2
x > 1
x < - \dfrac{3}{4}
Jenny tried to solve the following inequality but made a mistake in her work:
\begin{alignedat}{4} \text{Step 0:} & -27 & -9 & x & & < & 36 \\ \text{Step 1:} & & -9 & x & & < & 63 \\ \text{Step 2:} & & & x & & < & -7 \end{alignedat}
Determine which step is incorrect and explain the error.
Consider the following inequalities:
Solve the inequality.
Plot the inequality on a number line.