Algebra-1 Problems

9.2 Conjunctions and Intersections, Disjunctions and Unions


Problem #

Problem Statement

Problems Similar To

1.

Graph the conjunction.

\begin{equation}7\textrm{ }<\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }<\textrm{ }9\end{equation}

2.

Graph the conjunction.

\begin{equation}6\textrm{ }\le\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }<\textrm{ }8\end{equation}

3.

Graph the conjunction.

\begin{equation}5\textrm{ }\le\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }\le\textrm{ }7\end{equation}

4.

Graph the conjunction.

\begin{equation}7\textrm{ }<\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }\le\textrm{ }9\end{equation}

5.

Graph the conjunction.

\begin{equation}13\textrm{ }<\textrm{ }x+5\textrm{ },\textrm{ }x+5\textrm{ }<\textrm{ }15\end{equation}

6.

Graph the conjunction.

\begin{equation}15\textrm{ }<\textrm{ }x+6\textrm{ },\textrm{ }x+6\textrm{ }\le\textrm{ }17\end{equation}

7.

Graph the conjunction.

\begin{equation}15\textrm{ }\le\textrm{ }x+9\textrm{ },\textrm{ }x+9\textrm{ }<\textrm{ }17\end{equation}

8.

Graph the conjunction.

\begin{equation}12\textrm{ }\le\textrm{ }x+4\textrm{ },\textrm{ }x+4\textrm{ }\le\textrm{ }14\end{equation}

9.

Graph the conjunction.

\begin{equation}27\textrm{ }<\textrm{ }3x\textrm{ },\textrm{ }3x\textrm{ }<\textrm{ }33\end{equation}

10.

Graph the conjunction.

\begin{equation}10\textrm{ }<\textrm{ }2x\textrm{ },\textrm{ }2x\textrm{ }\le\textrm{ }14\end{equation}

11.

Graph the conjunction.

\begin{equation}10\textrm{ }\le\textrm{ }10x\textrm{ },\textrm{ }10x\textrm{ }<\textrm{ }30\end{equation}

12.

Graph the conjunction.

\begin{equation}20\textrm{ }\le\textrm{ }5x\textrm{ },\textrm{ }5x\textrm{ }\le\textrm{ }30\end{equation}

13.

Graph the disjunction.

\begin{equation}x\textrm{ }<\textrm{ }6\textrm{ },\textrm{ }x\textrm{ }>\textrm{ }11\end{equation}

14.

Graph the disjunction.

\begin{equation}x\textrm{ }<\textrm{ }7\textrm{ },\textrm{ }x\textrm{ }\ge\textrm{ }9\end{equation}

15.

Graph the disjunction.

\begin{equation}x\textrm{ }\le\textrm{ }6\textrm{ },\textrm{ }x\textrm{ }>\textrm{ }10\end{equation}

16.

Graph the disjunction.

\begin{equation}x\textrm{ }\le\textrm{ }8\textrm{ },\textrm{ }x\textrm{ }\ge\textrm{ }11\end{equation}

17.

Graph the disjunction.

\begin{equation}10x+7\textrm{ }<\textrm{ }67\textrm{ },\textrm{ }6x+3\textrm{ }>\textrm{ }51\end{equation}

18.

Graph the disjunction.

\begin{equation}5x+6\textrm{ }\le\textrm{ }56\textrm{ },\textrm{ }9x+2\textrm{ }>\textrm{ }146\end{equation}

19.

Graph the disjunction.

\begin{equation}7x+5\textrm{ }<\textrm{ }68\textrm{ },\textrm{ }8x+10\textrm{ }\ge\textrm{ }122\end{equation}

20.

Graph the disjunction.

\begin{equation}9x+9\textrm{ }\le\textrm{ }90\textrm{ },\textrm{ }3x+4\textrm{ }\ge\textrm{ }37\end{equation}

21.

Solve the compound inequality for x

\begin{equation}14\textrm{ }<\textrm{ }x+7\textrm{ },\textrm{ }x+7\textrm{ }<\textrm{ }16\end{equation}

22.

Solve the compound inequality for x

\begin{equation}-10\textrm{ }<\textrm{ }(-2)x\textrm{ },\textrm{ }(-2)x\textrm{ }<\textrm{ }-6\end{equation}

23.

Solve the compound inequality for x

\begin{equation}76\textrm{ }\le\textrm{ }4(x+10)\textrm{ },\textrm{ }4(x+10)\textrm{ }<\textrm{ }84\end{equation}

24.

Solve the compound inequality for x

\begin{equation}9x+9\textrm{ }<\textrm{ }54\textrm{ },\textrm{ }-x+5\textrm{ }<\textrm{ }-4\end{equation}

25.

Solve the compound inequality for x

\begin{equation}9(x+4)\textrm{ }<\textrm{ }135\textrm{ },\textrm{ }-x-3\textrm{ }\le\textrm{ }-18\end{equation}

26.

Solve the compound inequality for x

\begin{equation}-1\textrm{ }<\textrm{ }x-7\textrm{ },\textrm{ }x-7\textrm{ }<\textrm{ }1\end{equation}

27.

Solve the compound inequality for x

\begin{equation}34\textrm{ }\le\textrm{ }4x+2\textrm{ },\textrm{ }4x+2\textrm{ }\le\textrm{ }42\end{equation}

28.

Solve the compound inequality for x

\begin{equation}x-5\textrm{ }<\textrm{ }-2\textrm{ },\textrm{ }x-3\textrm{ }\ge\textrm{ }7\end{equation}

29.

Solve the compound inequality for x

\begin{equation}9x+4\textrm{ }\le\textrm{ }94\textrm{ },\textrm{ }2x+10\textrm{ }>\textrm{ }34\end{equation}