Algebra-1 Problems

9.2 Conjunctions and Intersections, Disjunctions and Unions


Problem #

Problem Statement

Problems Similar To

1.

Graph the conjunction.

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

2.

Graph the conjunction.

\begin{equation}2\textrm{ }\le\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }<\textrm{ }4\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}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}8\textrm{ }<\textrm{ }x+6\textrm{ },\textrm{ }x+6\textrm{ }\le\textrm{ }10\end{equation}

7.

Graph the conjunction.

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

8.

Graph the conjunction.

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

9.

Graph the conjunction.

\begin{equation}18\textrm{ }<\textrm{ }3x\textrm{ },\textrm{ }3x\textrm{ }<\textrm{ }24\end{equation}

10.

Graph the conjunction.

\begin{equation}9\textrm{ }<\textrm{ }9x\textrm{ },\textrm{ }9x\textrm{ }\le\textrm{ }27\end{equation}

11.

Graph the conjunction.

\begin{equation}16\textrm{ }\le\textrm{ }8x\textrm{ },\textrm{ }8x\textrm{ }<\textrm{ }32\end{equation}

12.

Graph the conjunction.

\begin{equation}40\textrm{ }\le\textrm{ }8x\textrm{ },\textrm{ }8x\textrm{ }\le\textrm{ }56\end{equation}

13.

Graph the disjunction.

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

14.

Graph the disjunction.

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

15.

Graph the disjunction.

\begin{equation}x\textrm{ }\le\textrm{ }8\textrm{ },\textrm{ }x\textrm{ }>\textrm{ }14\end{equation}

16.

Graph the disjunction.

\begin{equation}x\textrm{ }\le\textrm{ }9\textrm{ },\textrm{ }x\textrm{ }\ge\textrm{ }12\end{equation}

17.

Graph the disjunction.

\begin{equation}5x+7\textrm{ }<\textrm{ }37\textrm{ },\textrm{ }6x+9\textrm{ }>\textrm{ }57\end{equation}

18.

Graph the disjunction.

\begin{equation}6x+3\textrm{ }\le\textrm{ }39\textrm{ },\textrm{ }10x+4\textrm{ }>\textrm{ }104\end{equation}

19.

Graph the disjunction.

\begin{equation}6x+6\textrm{ }<\textrm{ }72\textrm{ },\textrm{ }8x+7\textrm{ }\ge\textrm{ }127\end{equation}

20.

Graph the disjunction.

\begin{equation}10x+4\textrm{ }\le\textrm{ }54\textrm{ },\textrm{ }7x+7\textrm{ }\ge\textrm{ }91\end{equation}

21.

Solve the compound inequality for x

\begin{equation}11\textrm{ }<\textrm{ }x+5\textrm{ },\textrm{ }x+5\textrm{ }<\textrm{ }13\end{equation}

22.

Solve the compound inequality for x

\begin{equation}-27\textrm{ }<\textrm{ }(-3)x\textrm{ },\textrm{ }(-3)x\textrm{ }<\textrm{ }-21\end{equation}

23.

Solve the compound inequality for x

\begin{equation}42\textrm{ }\le\textrm{ }6(x+5)\textrm{ },\textrm{ }6(x+5)\textrm{ }<\textrm{ }54\end{equation}

24.

Solve the compound inequality for x

\begin{equation}9x+2\textrm{ }<\textrm{ }74\textrm{ },\textrm{ }-x+5\textrm{ }<\textrm{ }-9\end{equation}

25.

Solve the compound inequality for x

\begin{equation}9(x+2)\textrm{ }<\textrm{ }117\textrm{ },\textrm{ }-x-6\textrm{ }\le\textrm{ }-19\end{equation}

26.

Solve the compound inequality for x

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

27.

Solve the compound inequality for x

\begin{equation}34\textrm{ }\le\textrm{ }5x+9\textrm{ },\textrm{ }5x+9\textrm{ }\le\textrm{ }44\end{equation}

28.

Solve the compound inequality for x

\begin{equation}x-10\textrm{ }<\textrm{ }-7\textrm{ },\textrm{ }x-4\textrm{ }\ge\textrm{ }3\end{equation}

29.

Solve the compound inequality for x

\begin{equation}8x+3\textrm{ }\le\textrm{ }91\textrm{ },\textrm{ }4x+8\textrm{ }>\textrm{ }72\end{equation}