Algebra-1 Problems

9.2 Conjunctions and Intersections, Disjunctions and Unions


Problem #

Problem Statement

Problems Similar To

1.

Graph the conjunction.

\begin{equation}3\textrm{ }<\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }<\textrm{ }5\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}2\textrm{ }\le\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }\le\textrm{ }4\end{equation}

4.

Graph the conjunction.

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

5.

Graph the conjunction.

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

6.

Graph the conjunction.

\begin{equation}17\textrm{ }<\textrm{ }x+8\textrm{ },\textrm{ }x+8\textrm{ }\le\textrm{ }19\end{equation}

7.

Graph the conjunction.

\begin{equation}3\textrm{ }\le\textrm{ }x+2\textrm{ },\textrm{ }x+2\textrm{ }<\textrm{ }5\end{equation}

8.

Graph the conjunction.

\begin{equation}9\textrm{ }\le\textrm{ }x+7\textrm{ },\textrm{ }x+7\textrm{ }\le\textrm{ }11\end{equation}

9.

Graph the conjunction.

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

10.

Graph the conjunction.

\begin{equation}32\textrm{ }<\textrm{ }8x\textrm{ },\textrm{ }8x\textrm{ }\le\textrm{ }48\end{equation}

11.

Graph the conjunction.

\begin{equation}28\textrm{ }\le\textrm{ }4x\textrm{ },\textrm{ }4x\textrm{ }<\textrm{ }36\end{equation}

12.

Graph the conjunction.

\begin{equation}20\textrm{ }\le\textrm{ }4x\textrm{ },\textrm{ }4x\textrm{ }\le\textrm{ }28\end{equation}

13.

Graph the disjunction.

\begin{equation}x\textrm{ }<\textrm{ }4\textrm{ },\textrm{ }x\textrm{ }>\textrm{ }9\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{ }7\textrm{ },\textrm{ }x\textrm{ }>\textrm{ }10\end{equation}

16.

Graph the disjunction.

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

17.

Graph the disjunction.

\begin{equation}3x+3\textrm{ }<\textrm{ }21\textrm{ },\textrm{ }8x+5\textrm{ }>\textrm{ }101\end{equation}

18.

Graph the disjunction.

\begin{equation}7x+8\textrm{ }\le\textrm{ }29\textrm{ },\textrm{ }5x+8\textrm{ }>\textrm{ }58\end{equation}

19.

Graph the disjunction.

\begin{equation}6x+5\textrm{ }<\textrm{ }23\textrm{ },\textrm{ }9x+9\textrm{ }\ge\textrm{ }81\end{equation}

20.

Graph the disjunction.

\begin{equation}7x+2\textrm{ }\le\textrm{ }44\textrm{ },\textrm{ }9x+4\textrm{ }\ge\textrm{ }121\end{equation}

21.

Solve the compound inequality for x

\begin{equation}10\textrm{ }<\textrm{ }x+6\textrm{ },\textrm{ }x+6\textrm{ }<\textrm{ }12\end{equation}

22.

Solve the compound inequality for x

\begin{equation}-70\textrm{ }<\textrm{ }(-10)x\textrm{ },\textrm{ }(-10)x\textrm{ }<\textrm{ }-50\end{equation}

23.

Solve the compound inequality for x

\begin{equation}48\textrm{ }\le\textrm{ }4(x+5)\textrm{ },\textrm{ }4(x+5)\textrm{ }<\textrm{ }56\end{equation}

24.

Solve the compound inequality for x

\begin{equation}6x+5\textrm{ }<\textrm{ }23\textrm{ },\textrm{ }-x+3\textrm{ }<\textrm{ }-6\end{equation}

25.

Solve the compound inequality for x

\begin{equation}9(x+9)\textrm{ }<\textrm{ }171\textrm{ },\textrm{ }-x-9\textrm{ }\le\textrm{ }-23\end{equation}

26.

Solve the compound inequality for x

\begin{equation}0\textrm{ }<\textrm{ }x-3\textrm{ },\textrm{ }x-3\textrm{ }<\textrm{ }2\end{equation}

27.

Solve the compound inequality for x

\begin{equation}71\textrm{ }\le\textrm{ }8x+7\textrm{ },\textrm{ }8x+7\textrm{ }\le\textrm{ }87\end{equation}

28.

Solve the compound inequality for x

\begin{equation}x-6\textrm{ }<\textrm{ }--2\textrm{ },\textrm{ }x-9\textrm{ }\ge\textrm{ }3\end{equation}

29.

Solve the compound inequality for x

\begin{equation}5x+8\textrm{ }\le\textrm{ }28\textrm{ },\textrm{ }8x+2\textrm{ }>\textrm{ }50\end{equation}