Algebra-1 Problems

9.2 Conjunctions and Intersections, Disjunctions and Unions


Problem #

Problem Statement

Problems Similar To

1.

Graph the conjunction.

\begin{equation}8\textrm{ }<\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }<\textrm{ }10\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}5\textrm{ }\le\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }\le\textrm{ }7\end{equation}

4.

Graph the conjunction.

\begin{equation}1\textrm{ }<\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }\le\textrm{ }3\end{equation}

5.

Graph the conjunction.

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

6.

Graph the conjunction.

\begin{equation}10\textrm{ }<\textrm{ }x+8\textrm{ },\textrm{ }x+8\textrm{ }\le\textrm{ }12\end{equation}

7.

Graph the conjunction.

\begin{equation}11\textrm{ }\le\textrm{ }x+3\textrm{ },\textrm{ }x+3\textrm{ }<\textrm{ }13\end{equation}

8.

Graph the conjunction.

\begin{equation}15\textrm{ }\le\textrm{ }x+9\textrm{ },\textrm{ }x+9\textrm{ }\le\textrm{ }17\end{equation}

9.

Graph the conjunction.

\begin{equation}10\textrm{ }<\textrm{ }5x\textrm{ },\textrm{ }5x\textrm{ }<\textrm{ }20\end{equation}

10.

Graph the conjunction.

\begin{equation}24\textrm{ }<\textrm{ }8x\textrm{ },\textrm{ }8x\textrm{ }\le\textrm{ }40\end{equation}

11.

Graph the conjunction.

\begin{equation}12\textrm{ }\le\textrm{ }4x\textrm{ },\textrm{ }4x\textrm{ }<\textrm{ }20\end{equation}

12.

Graph the conjunction.

\begin{equation}32\textrm{ }\le\textrm{ }4x\textrm{ },\textrm{ }4x\textrm{ }\le\textrm{ }40\end{equation}

13.

Graph the disjunction.

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

14.

Graph the disjunction.

\begin{equation}x\textrm{ }<\textrm{ }8\textrm{ },\textrm{ }x\textrm{ }\ge\textrm{ }13\end{equation}

15.

Graph the disjunction.

\begin{equation}x\textrm{ }\le\textrm{ }8\textrm{ },\textrm{ }x\textrm{ }>\textrm{ }11\end{equation}

16.

Graph the disjunction.

\begin{equation}x\textrm{ }\le\textrm{ }5\textrm{ },\textrm{ }x\textrm{ }\ge\textrm{ }7\end{equation}

17.

Graph the disjunction.

\begin{equation}6x+3\textrm{ }<\textrm{ }27\textrm{ },\textrm{ }3x+8\textrm{ }>\textrm{ }41\end{equation}

18.

Graph the disjunction.

\begin{equation}2x+5\textrm{ }\le\textrm{ }27\textrm{ },\textrm{ }8x+3\textrm{ }>\textrm{ }107\end{equation}

19.

Graph the disjunction.

\begin{equation}4x+2\textrm{ }<\textrm{ }22\textrm{ },\textrm{ }7x+5\textrm{ }\ge\textrm{ }75\end{equation}

20.

Graph the disjunction.

\begin{equation}10x+7\textrm{ }\le\textrm{ }47\textrm{ },\textrm{ }4x+5\textrm{ }\ge\textrm{ }29\end{equation}

21.

Solve the compound inequality for x

\begin{equation}11\textrm{ }<\textrm{ }x+10\textrm{ },\textrm{ }x+10\textrm{ }<\textrm{ }13\end{equation}

22.

Solve the compound inequality for x

\begin{equation}-77\textrm{ }<\textrm{ }(-7)x\textrm{ },\textrm{ }(-7)x\textrm{ }<\textrm{ }-63\end{equation}

23.

Solve the compound inequality for x

\begin{equation}35\textrm{ }\le\textrm{ }7(x+4)\textrm{ },\textrm{ }7(x+4)\textrm{ }<\textrm{ }49\end{equation}

24.

Solve the compound inequality for x

\begin{equation}8x+9\textrm{ }<\textrm{ }41\textrm{ },\textrm{ }-x+10\textrm{ }<\textrm{ }--3\end{equation}

25.

Solve the compound inequality for x

\begin{equation}10(x+3)\textrm{ }<\textrm{ }110\textrm{ },\textrm{ }-x-5\textrm{ }\le\textrm{ }-15\end{equation}

26.

Solve the compound inequality for x

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

27.

Solve the compound inequality for x

\begin{equation}16\textrm{ }\le\textrm{ }2x+4\textrm{ },\textrm{ }2x+4\textrm{ }\le\textrm{ }20\end{equation}

28.

Solve the compound inequality for x

\begin{equation}x-3\textrm{ }<\textrm{ }--6\textrm{ },\textrm{ }x-5\textrm{ }\ge\textrm{ }9\end{equation}

29.

Solve the compound inequality for x

\begin{equation}4x+5\textrm{ }\le\textrm{ }37\textrm{ },\textrm{ }7x+6\textrm{ }>\textrm{ }111\end{equation}