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

3.

Graph the conjunction.

\begin{equation}6\textrm{ }\le\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }\le\textrm{ }8\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}8\textrm{ }<\textrm{ }x+4\textrm{ },\textrm{ }x+4\textrm{ }<\textrm{ }10\end{equation}

6.

Graph the conjunction.

\begin{equation}5\textrm{ }<\textrm{ }x+4\textrm{ },\textrm{ }x+4\textrm{ }\le\textrm{ }7\end{equation}

7.

Graph the conjunction.

\begin{equation}14\textrm{ }\le\textrm{ }x+10\textrm{ },\textrm{ }x+10\textrm{ }<\textrm{ }16\end{equation}

8.

Graph the conjunction.

\begin{equation}8\textrm{ }\le\textrm{ }x+7\textrm{ },\textrm{ }x+7\textrm{ }\le\textrm{ }10\end{equation}

9.

Graph the conjunction.

\begin{equation}81\textrm{ }<\textrm{ }9x\textrm{ },\textrm{ }9x\textrm{ }<\textrm{ }99\end{equation}

10.

Graph the conjunction.

\begin{equation}60\textrm{ }<\textrm{ }10x\textrm{ },\textrm{ }10x\textrm{ }\le\textrm{ }80\end{equation}

11.

Graph the conjunction.

\begin{equation}49\textrm{ }\le\textrm{ }7x\textrm{ },\textrm{ }7x\textrm{ }<\textrm{ }63\end{equation}

12.

Graph the conjunction.

\begin{equation}20\textrm{ }\le\textrm{ }10x\textrm{ },\textrm{ }10x\textrm{ }\le\textrm{ }40\end{equation}

13.

Graph the disjunction.

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

14.

Graph the disjunction.

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

15.

Graph the disjunction.

\begin{equation}x\textrm{ }\le\textrm{ }7\textrm{ },\textrm{ }x\textrm{ }>\textrm{ }11\end{equation}

16.

Graph the disjunction.

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

17.

Graph the disjunction.

\begin{equation}7x+10\textrm{ }<\textrm{ }73\textrm{ },\textrm{ }3x+6\textrm{ }>\textrm{ }51\end{equation}

18.

Graph the disjunction.

\begin{equation}7x+8\textrm{ }\le\textrm{ }50\textrm{ },\textrm{ }10x+2\textrm{ }>\textrm{ }102\end{equation}

19.

Graph the disjunction.

\begin{equation}10x+8\textrm{ }<\textrm{ }78\textrm{ },\textrm{ }8x+5\textrm{ }\ge\textrm{ }93\end{equation}

20.

Graph the disjunction.

\begin{equation}6x+2\textrm{ }\le\textrm{ }38\textrm{ },\textrm{ }6x+5\textrm{ }\ge\textrm{ }65\end{equation}

21.

Solve the compound inequality for x

\begin{equation}13\textrm{ }<\textrm{ }x+4\textrm{ },\textrm{ }x+4\textrm{ }<\textrm{ }15\end{equation}

22.

Solve the compound inequality for x

\begin{equation}-36\textrm{ }<\textrm{ }(-6)x\textrm{ },\textrm{ }(-6)x\textrm{ }<\textrm{ }-24\end{equation}

23.

Solve the compound inequality for x

\begin{equation}130\textrm{ }\le\textrm{ }10(x+7)\textrm{ },\textrm{ }10(x+7)\textrm{ }<\textrm{ }150\end{equation}

24.

Solve the compound inequality for x

\begin{equation}3x+9\textrm{ }<\textrm{ }24\textrm{ },\textrm{ }-x+4\textrm{ }<\textrm{ }-3\end{equation}

25.

Solve the compound inequality for x

\begin{equation}9(x+6)\textrm{ }<\textrm{ }99\textrm{ },\textrm{ }-x-10\textrm{ }\le\textrm{ }-17\end{equation}

26.

Solve the compound inequality for x

\begin{equation}-6\textrm{ }<\textrm{ }x-8\textrm{ },\textrm{ }x-8\textrm{ }<\textrm{ }-4\end{equation}

27.

Solve the compound inequality for x

\begin{equation}41\textrm{ }\le\textrm{ }8x+9\textrm{ },\textrm{ }8x+9\textrm{ }\le\textrm{ }57\end{equation}

28.

Solve the compound inequality for x

\begin{equation}x-9\textrm{ }<\textrm{ }-2\textrm{ },\textrm{ }x-3\textrm{ }\ge\textrm{ }7\end{equation}

29.

Solve the compound inequality for x

\begin{equation}3x+8\textrm{ }\le\textrm{ }17\textrm{ },\textrm{ }7x+8\textrm{ }>\textrm{ }57\end{equation}