Algebra-1 Problems

9.2 Conjunctions and Intersections, Disjunctions and Unions


Problem #

Problem Statement

Problems Similar To

1.

Graph the conjunction.

\begin{equation}6\textrm{ }<\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }<\textrm{ }8\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}3\textrm{ }\le\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }\le\textrm{ }5\end{equation}

4.

Graph the conjunction.

\begin{equation}9\textrm{ }<\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }\le\textrm{ }11\end{equation}

5.

Graph the conjunction.

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

6.

Graph the conjunction.

\begin{equation}11\textrm{ }<\textrm{ }x+10\textrm{ },\textrm{ }x+10\textrm{ }\le\textrm{ }13\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}12\textrm{ }\le\textrm{ }x+7\textrm{ },\textrm{ }x+7\textrm{ }\le\textrm{ }14\end{equation}

9.

Graph the conjunction.

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

10.

Graph the conjunction.

\begin{equation}45\textrm{ }<\textrm{ }9x\textrm{ },\textrm{ }9x\textrm{ }\le\textrm{ }63\end{equation}

11.

Graph the conjunction.

\begin{equation}30\textrm{ }\le\textrm{ }5x\textrm{ },\textrm{ }5x\textrm{ }<\textrm{ }40\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{ }8\textrm{ },\textrm{ }x\textrm{ }>\textrm{ }14\end{equation}

14.

Graph the disjunction.

\begin{equation}x\textrm{ }<\textrm{ }5\textrm{ },\textrm{ }x\textrm{ }\ge\textrm{ }12\end{equation}

15.

Graph the disjunction.

\begin{equation}x\textrm{ }\le\textrm{ }11\textrm{ },\textrm{ }x\textrm{ }>\textrm{ }18\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}3x+4\textrm{ }<\textrm{ }31\textrm{ },\textrm{ }8x+6\textrm{ }>\textrm{ }102\end{equation}

18.

Graph the disjunction.

\begin{equation}9x+10\textrm{ }\le\textrm{ }55\textrm{ },\textrm{ }9x+9\textrm{ }>\textrm{ }81\end{equation}

19.

Graph the disjunction.

\begin{equation}5x+6\textrm{ }<\textrm{ }61\textrm{ },\textrm{ }5x+2\textrm{ }\ge\textrm{ }67\end{equation}

20.

Graph the disjunction.

\begin{equation}10x+5\textrm{ }\le\textrm{ }115\textrm{ },\textrm{ }8x+2\textrm{ }\ge\textrm{ }146\end{equation}

21.

Solve the compound inequality for x

\begin{equation}18\textrm{ }<\textrm{ }x+10\textrm{ },\textrm{ }x+10\textrm{ }<\textrm{ }20\end{equation}

22.

Solve the compound inequality for x

\begin{equation}-88\textrm{ }<\textrm{ }(-8)x\textrm{ },\textrm{ }(-8)x\textrm{ }<\textrm{ }-72\end{equation}

23.

Solve the compound inequality for x

\begin{equation}72\textrm{ }\le\textrm{ }6(x+4)\textrm{ },\textrm{ }6(x+4)\textrm{ }<\textrm{ }84\end{equation}

24.

Solve the compound inequality for x

\begin{equation}5x+9\textrm{ }<\textrm{ }44\textrm{ },\textrm{ }-x+3\textrm{ }<\textrm{ }-11\end{equation}

25.

Solve the compound inequality for x

\begin{equation}2(x+2)\textrm{ }<\textrm{ }14\textrm{ },\textrm{ }-x-5\textrm{ }\le\textrm{ }-13\end{equation}

26.

Solve the compound inequality for x

\begin{equation}-8\textrm{ }<\textrm{ }x-9\textrm{ },\textrm{ }x-9\textrm{ }<\textrm{ }-6\end{equation}

27.

Solve the compound inequality for x

\begin{equation}23\textrm{ }\le\textrm{ }4x+7\textrm{ },\textrm{ }4x+7\textrm{ }\le\textrm{ }31\end{equation}

28.

Solve the compound inequality for x

\begin{equation}x-6\textrm{ }<\textrm{ }--2\textrm{ },\textrm{ }x-6\textrm{ }\ge\textrm{ }7\end{equation}

29.

Solve the compound inequality for x

\begin{equation}2x+6\textrm{ }\le\textrm{ }22\textrm{ },\textrm{ }2x+4\textrm{ }>\textrm{ }26\end{equation}