Algebra-1 Problems

9.2 Conjunctions and Intersections, Disjunctions and Unions


Problem #

Problem Statement

Problems Similar To

1.

Graph the conjunction.

\begin{equation}1\textrm{ }<\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }<\textrm{ }3\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}8\textrm{ }\le\textrm{ }x\textrm{ },\textrm{ }x\textrm{ }\le\textrm{ }10\end{equation}

4.

Graph the conjunction.

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

5.

Graph the conjunction.

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

6.

Graph the conjunction.

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

7.

Graph the conjunction.

\begin{equation}7\textrm{ }\le\textrm{ }x+3\textrm{ },\textrm{ }x+3\textrm{ }<\textrm{ }9\end{equation}

8.

Graph the conjunction.

\begin{equation}16\textrm{ }\le\textrm{ }x+9\textrm{ },\textrm{ }x+9\textrm{ }\le\textrm{ }18\end{equation}

9.

Graph the conjunction.

\begin{equation}24\textrm{ }<\textrm{ }4x\textrm{ },\textrm{ }4x\textrm{ }<\textrm{ }32\end{equation}

10.

Graph the conjunction.

\begin{equation}10\textrm{ }<\textrm{ }2x\textrm{ },\textrm{ }2x\textrm{ }\le\textrm{ }14\end{equation}

11.

Graph the conjunction.

\begin{equation}42\textrm{ }\le\textrm{ }7x\textrm{ },\textrm{ }7x\textrm{ }<\textrm{ }56\end{equation}

12.

Graph the conjunction.

\begin{equation}12\textrm{ }\le\textrm{ }2x\textrm{ },\textrm{ }2x\textrm{ }\le\textrm{ }16\end{equation}

13.

Graph the disjunction.

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

14.

Graph the disjunction.

\begin{equation}x\textrm{ }<\textrm{ }7\textrm{ },\textrm{ }x\textrm{ }\ge\textrm{ }12\end{equation}

15.

Graph the disjunction.

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

16.

Graph the disjunction.

\begin{equation}x\textrm{ }\le\textrm{ }5\textrm{ },\textrm{ }x\textrm{ }\ge\textrm{ }9\end{equation}

17.

Graph the disjunction.

\begin{equation}9x+10\textrm{ }<\textrm{ }37\textrm{ },\textrm{ }7x+9\textrm{ }>\textrm{ }44\end{equation}

18.

Graph the disjunction.

\begin{equation}10x+6\textrm{ }\le\textrm{ }106\textrm{ },\textrm{ }7x+10\textrm{ }>\textrm{ }94\end{equation}

19.

Graph the disjunction.

\begin{equation}4x+8\textrm{ }<\textrm{ }28\textrm{ },\textrm{ }6x+4\textrm{ }\ge\textrm{ }76\end{equation}

20.

Graph the disjunction.

\begin{equation}3x+9\textrm{ }\le\textrm{ }42\textrm{ },\textrm{ }3x+3\textrm{ }\ge\textrm{ }51\end{equation}

21.

Solve the compound inequality for x

\begin{equation}16\textrm{ }<\textrm{ }x+8\textrm{ },\textrm{ }x+8\textrm{ }<\textrm{ }18\end{equation}

22.

Solve the compound inequality for x

\begin{equation}-81\textrm{ }<\textrm{ }(-9)x\textrm{ },\textrm{ }(-9)x\textrm{ }<\textrm{ }-63\end{equation}

23.

Solve the compound inequality for x

\begin{equation}36\textrm{ }\le\textrm{ }4(x+2)\textrm{ },\textrm{ }4(x+2)\textrm{ }<\textrm{ }44\end{equation}

24.

Solve the compound inequality for x

\begin{equation}10x+3\textrm{ }<\textrm{ }93\textrm{ },\textrm{ }-x+6\textrm{ }<\textrm{ }-9\end{equation}

25.

Solve the compound inequality for x

\begin{equation}6(x+7)\textrm{ }<\textrm{ }60\textrm{ },\textrm{ }-x-8\textrm{ }\le\textrm{ }-15\end{equation}

26.

Solve the compound inequality for x

\begin{equation}2\textrm{ }<\textrm{ }x-2\textrm{ },\textrm{ }x-2\textrm{ }<\textrm{ }4\end{equation}

27.

Solve the compound inequality for x

\begin{equation}7\textrm{ }\le\textrm{ }5x+2\textrm{ },\textrm{ }5x+2\textrm{ }\le\textrm{ }17\end{equation}

28.

Solve the compound inequality for x

\begin{equation}x-2\textrm{ }<\textrm{ }--9\textrm{ },\textrm{ }x-10\textrm{ }\ge\textrm{ }5\end{equation}

29.

Solve the compound inequality for x

\begin{equation}3x+6\textrm{ }\le\textrm{ }15\textrm{ },\textrm{ }4x+5\textrm{ }>\textrm{ }29\end{equation}