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

5.

Graph the conjunction.

\begin{equation}12\textrm{ }<\textrm{ }x+10\textrm{ },\textrm{ }x+10\textrm{ }<\textrm{ }14\end{equation}

6.

Graph the conjunction.

\begin{equation}15\textrm{ }<\textrm{ }x+7\textrm{ },\textrm{ }x+7\textrm{ }\le\textrm{ }17\end{equation}

7.

Graph the conjunction.

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

8.

Graph the conjunction.

\begin{equation}9\textrm{ }\le\textrm{ }x+5\textrm{ },\textrm{ }x+5\textrm{ }\le\textrm{ }11\end{equation}

9.

Graph the conjunction.

\begin{equation}72\textrm{ }<\textrm{ }9x\textrm{ },\textrm{ }9x\textrm{ }<\textrm{ }90\end{equation}

10.

Graph the conjunction.

\begin{equation}20\textrm{ }<\textrm{ }5x\textrm{ },\textrm{ }5x\textrm{ }\le\textrm{ }30\end{equation}

11.

Graph the conjunction.

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

12.

Graph the conjunction.

\begin{equation}48\textrm{ }\le\textrm{ }8x\textrm{ },\textrm{ }8x\textrm{ }\le\textrm{ }64\end{equation}

13.

Graph the disjunction.

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

14.

Graph the disjunction.

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

15.

Graph the disjunction.

\begin{equation}x\textrm{ }\le\textrm{ }10\textrm{ },\textrm{ }x\textrm{ }>\textrm{ }13\end{equation}

16.

Graph the disjunction.

\begin{equation}x\textrm{ }\le\textrm{ }4\textrm{ },\textrm{ }x\textrm{ }\ge\textrm{ }11\end{equation}

17.

Graph the disjunction.

\begin{equation}2x+4\textrm{ }<\textrm{ }16\textrm{ },\textrm{ }10x+3\textrm{ }>\textrm{ }113\end{equation}

18.

Graph the disjunction.

\begin{equation}3x+2\textrm{ }\le\textrm{ }35\textrm{ },\textrm{ }8x+10\textrm{ }>\textrm{ }146\end{equation}

19.

Graph the disjunction.

\begin{equation}3x+4\textrm{ }<\textrm{ }31\textrm{ },\textrm{ }10x+8\textrm{ }\ge\textrm{ }148\end{equation}

20.

Graph the disjunction.

\begin{equation}3x+2\textrm{ }\le\textrm{ }11\textrm{ },\textrm{ }10x+3\textrm{ }\ge\textrm{ }83\end{equation}

21.

Solve the compound inequality for x

\begin{equation}14\textrm{ }<\textrm{ }x+10\textrm{ },\textrm{ }x+10\textrm{ }<\textrm{ }16\end{equation}

22.

Solve the compound inequality for x

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

23.

Solve the compound inequality for x

\begin{equation}44\textrm{ }\le\textrm{ }4(x+8)\textrm{ },\textrm{ }4(x+8)\textrm{ }<\textrm{ }52\end{equation}

24.

Solve the compound inequality for x

\begin{equation}8x+7\textrm{ }<\textrm{ }79\textrm{ },\textrm{ }-x+7\textrm{ }<\textrm{ }-5\end{equation}

25.

Solve the compound inequality for x

\begin{equation}8(x+3)\textrm{ }<\textrm{ }96\textrm{ },\textrm{ }-x-9\textrm{ }\le\textrm{ }-24\end{equation}

26.

Solve the compound inequality for x

\begin{equation}1\textrm{ }<\textrm{ }x-6\textrm{ },\textrm{ }x-6\textrm{ }<\textrm{ }3\end{equation}

27.

Solve the compound inequality for x

\begin{equation}52\textrm{ }\le\textrm{ }7x+10\textrm{ },\textrm{ }7x+10\textrm{ }\le\textrm{ }66\end{equation}

28.

Solve the compound inequality for x

\begin{equation}x-4\textrm{ }<\textrm{ }--4\textrm{ },\textrm{ }x-4\textrm{ }\ge\textrm{ }9\end{equation}

29.

Solve the compound inequality for x

\begin{equation}8x+10\textrm{ }\le\textrm{ }90\textrm{ },\textrm{ }9x+5\textrm{ }>\textrm{ }149\end{equation}