Algebra-1 Problems

9.2 Conjunctions and Intersections, Disjunctions and Unions


Problem #

Problem Statement

Problems Similar To

1.

Graph the conjunction.

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

2.

Graph the conjunction.

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

3.

Graph the conjunction.

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

4.

Graph the conjunction.

\begin{equation}2\textrm{ }<\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }\le\textrm{ }4\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}7\textrm{ }<\textrm{ }x+5\textrm{ },\textrm{ }x+5\textrm{ }\le\textrm{ }9\end{equation}

7.

Graph the conjunction.

\begin{equation}16\textrm{ }\le\textrm{ }x+7\textrm{ },\textrm{ }x+7\textrm{ }<\textrm{ }18\end{equation}

8.

Graph the conjunction.

\begin{equation}6\textrm{ }\le\textrm{ }x+5\textrm{ },\textrm{ }x+5\textrm{ }\le\textrm{ }8\end{equation}

9.

Graph the conjunction.

\begin{equation}12\textrm{ }<\textrm{ }3x\textrm{ },\textrm{ }3x\textrm{ }<\textrm{ }18\end{equation}

10.

Graph the conjunction.

\begin{equation}30\textrm{ }<\textrm{ }5x\textrm{ },\textrm{ }5x\textrm{ }\le\textrm{ }40\end{equation}

11.

Graph the conjunction.

\begin{equation}70\textrm{ }\le\textrm{ }10x\textrm{ },\textrm{ }10x\textrm{ }<\textrm{ }90\end{equation}

12.

Graph the conjunction.

\begin{equation}36\textrm{ }\le\textrm{ }4x\textrm{ },\textrm{ }4x\textrm{ }\le\textrm{ }44\end{equation}

13.

Graph the disjunction.

\begin{equation}x\textrm{ }<\textrm{ }11\textrm{ },\textrm{ }x\textrm{ }>\textrm{ }15\end{equation}

14.

Graph the disjunction.

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

15.

Graph the disjunction.

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

16.

Graph the disjunction.

\begin{equation}x\textrm{ }\le\textrm{ }5\textrm{ },\textrm{ }x\textrm{ }\ge\textrm{ }11\end{equation}

17.

Graph the disjunction.

\begin{equation}4x+8\textrm{ }<\textrm{ }40\textrm{ },\textrm{ }10x+10\textrm{ }>\textrm{ }110\end{equation}

18.

Graph the disjunction.

\begin{equation}5x+3\textrm{ }\le\textrm{ }28\textrm{ },\textrm{ }8x+3\textrm{ }>\textrm{ }83\end{equation}

19.

Graph the disjunction.

\begin{equation}9x+6\textrm{ }<\textrm{ }42\textrm{ },\textrm{ }10x+2\textrm{ }\ge\textrm{ }92\end{equation}

20.

Graph the disjunction.

\begin{equation}7x+2\textrm{ }\le\textrm{ }79\textrm{ },\textrm{ }10x+10\textrm{ }\ge\textrm{ }190\end{equation}

21.

Solve the compound inequality for x

\begin{equation}11\textrm{ }<\textrm{ }x+7\textrm{ },\textrm{ }x+7\textrm{ }<\textrm{ }13\end{equation}

22.

Solve the compound inequality for x

\begin{equation}-35\textrm{ }<\textrm{ }(-7)x\textrm{ },\textrm{ }(-7)x\textrm{ }<\textrm{ }-21\end{equation}

23.

Solve the compound inequality for x

\begin{equation}64\textrm{ }\le\textrm{ }4(x+7)\textrm{ },\textrm{ }4(x+7)\textrm{ }<\textrm{ }72\end{equation}

24.

Solve the compound inequality for x

\begin{equation}9x+10\textrm{ }<\textrm{ }73\textrm{ },\textrm{ }-x+9\textrm{ }<\textrm{ }-3\end{equation}

25.

Solve the compound inequality for x

\begin{equation}3(x+10)\textrm{ }<\textrm{ }60\textrm{ },\textrm{ }-x-6\textrm{ }\le\textrm{ }-18\end{equation}

26.

Solve the compound inequality for x

\begin{equation}-8\textrm{ }<\textrm{ }x-10\textrm{ },\textrm{ }x-10\textrm{ }<\textrm{ }-6\end{equation}

27.

Solve the compound inequality for x

\begin{equation}56\textrm{ }\le\textrm{ }8x+8\textrm{ },\textrm{ }8x+8\textrm{ }\le\textrm{ }72\end{equation}

28.

Solve the compound inequality for x

\begin{equation}x-3\textrm{ }<\textrm{ }--6\textrm{ },\textrm{ }x-3\textrm{ }\ge\textrm{ }12\end{equation}

29.

Solve the compound inequality for x

\begin{equation}9x+3\textrm{ }\le\textrm{ }48\textrm{ },\textrm{ }9x+7\textrm{ }>\textrm{ }79\end{equation}