Algebra-1 Problems

9.2 Conjunctions and Intersections, Disjunctions and Unions


Problem #

Problem Statement

Problems Similar To

1.

Graph the conjunction.

\begin{equation}1\textrm{ }<\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }<\textrm{ }3\end{equation}

2.

Graph the conjunction.

\begin{equation}4\textrm{ }\le\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }<\textrm{ }6\end{equation}

3.

Graph the conjunction.

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

4.

Graph the conjunction.

\begin{equation}1\textrm{ }<\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }\le\textrm{ }3\end{equation}

5.

Graph the conjunction.

\begin{equation}15\textrm{ }<\textrm{ }x+10\textrm{ },\textrm{ }x+10\textrm{ }<\textrm{ }17\end{equation}

6.

Graph the conjunction.

\begin{equation}18\textrm{ }<\textrm{ }x+9\textrm{ },\textrm{ }x+9\textrm{ }\le\textrm{ }20\end{equation}

7.

Graph the conjunction.

\begin{equation}8\textrm{ }\le\textrm{ }x+3\textrm{ },\textrm{ }x+3\textrm{ }<\textrm{ }10\end{equation}

8.

Graph the conjunction.

\begin{equation}6\textrm{ }\le\textrm{ }x+4\textrm{ },\textrm{ }x+4\textrm{ }\le\textrm{ }8\end{equation}

9.

Graph the conjunction.

\begin{equation}48\textrm{ }<\textrm{ }6x\textrm{ },\textrm{ }6x\textrm{ }<\textrm{ }60\end{equation}

10.

Graph the conjunction.

\begin{equation}8\textrm{ }<\textrm{ }8x\textrm{ },\textrm{ }8x\textrm{ }\le\textrm{ }24\end{equation}

11.

Graph the conjunction.

\begin{equation}90\textrm{ }\le\textrm{ }10x\textrm{ },\textrm{ }10x\textrm{ }<\textrm{ }110\end{equation}

12.

Graph the conjunction.

\begin{equation}8\textrm{ }\le\textrm{ }8x\textrm{ },\textrm{ }8x\textrm{ }\le\textrm{ }24\end{equation}

13.

Graph the disjunction.

\begin{equation}x\textrm{ }<\textrm{ }9\textrm{ },\textrm{ }x\textrm{ }>\textrm{ }16\end{equation}

14.

Graph the disjunction.

\begin{equation}x\textrm{ }<\textrm{ }4\textrm{ },\textrm{ }x\textrm{ }\ge\textrm{ }9\end{equation}

15.

Graph the disjunction.

\begin{equation}x\textrm{ }\le\textrm{ }9\textrm{ },\textrm{ }x\textrm{ }>\textrm{ }13\end{equation}

16.

Graph the disjunction.

\begin{equation}x\textrm{ }\le\textrm{ }9\textrm{ },\textrm{ }x\textrm{ }\ge\textrm{ }13\end{equation}

17.

Graph the disjunction.

\begin{equation}5x+4\textrm{ }<\textrm{ }54\textrm{ },\textrm{ }8x+10\textrm{ }>\textrm{ }146\end{equation}

18.

Graph the disjunction.

\begin{equation}4x+9\textrm{ }\le\textrm{ }53\textrm{ },\textrm{ }3x+4\textrm{ }>\textrm{ }58\end{equation}

19.

Graph the disjunction.

\begin{equation}4x+7\textrm{ }<\textrm{ }19\textrm{ },\textrm{ }9x+7\textrm{ }\ge\textrm{ }97\end{equation}

20.

Graph the disjunction.

\begin{equation}8x+6\textrm{ }\le\textrm{ }70\textrm{ },\textrm{ }6x+4\textrm{ }\ge\textrm{ }88\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}-50\textrm{ }<\textrm{ }(-5)x\textrm{ },\textrm{ }(-5)x\textrm{ }<\textrm{ }-40\end{equation}

23.

Solve the compound inequality for x

\begin{equation}70\textrm{ }\le\textrm{ }10(x+6)\textrm{ },\textrm{ }10(x+6)\textrm{ }<\textrm{ }90\end{equation}

24.

Solve the compound inequality for x

\begin{equation}9x+3\textrm{ }<\textrm{ }102\textrm{ },\textrm{ }-x+7\textrm{ }<\textrm{ }-10\end{equation}

25.

Solve the compound inequality for x

\begin{equation}9(x+8)\textrm{ }<\textrm{ }99\textrm{ },\textrm{ }-x-7\textrm{ }\le\textrm{ }-17\end{equation}

26.

Solve the compound inequality for x

\begin{equation}1\textrm{ }<\textrm{ }x-2\textrm{ },\textrm{ }x-2\textrm{ }<\textrm{ }3\end{equation}

27.

Solve the compound inequality for x

\begin{equation}37\textrm{ }\le\textrm{ }4x+9\textrm{ },\textrm{ }4x+9\textrm{ }\le\textrm{ }45\end{equation}

28.

Solve the compound inequality for x

\begin{equation}x-7\textrm{ }<\textrm{ }-4\textrm{ },\textrm{ }x-4\textrm{ }\ge\textrm{ }3\end{equation}

29.

Solve the compound inequality for x

\begin{equation}10x+10\textrm{ }\le\textrm{ }100\textrm{ },\textrm{ }4x+7\textrm{ }>\textrm{ }55\end{equation}