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An inequality must have a greater than sign (>) OR a less than sign (<) OR a greater than or equal to sign (≥) OR a less than or equal to sign (≤).

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15y ago

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How do you graph an absolute value inequality on a number line?

To graph an absolute value inequality on a number line, first, rewrite the inequality in its standard form. For example, for (|x| &lt; a), this translates to (-a &lt; x &lt; a). Plot the critical points (in this case, -a and a) on the number line, using open circles for inequalities that are strict ((&lt;) or (&gt;)) and closed circles for inclusive inequalities ((\leq) or (\geq)). Finally, shade the appropriate region between or outside the critical points, depending on the inequality.


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To determine the inequality that represents a graph, you need to analyze its features, such as the shaded region and the boundary line. If the boundary line is solid, the inequality includes &quot;≤&quot; or &quot;≥,&quot; while a dashed line indicates &quot;&lt;&quot; or &quot;&gt;&quot;. The shaded region shows where the values satisfy the inequality. By identifying the slope and y-intercept of the line, you can formulate the correct inequality.


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Which values are solutions to the inequality x2 9?

To solve the inequality ( x^2 &lt; 9 ), we first rewrite it as ( x^2 - 9 &lt; 0 ), which factors to ( (x - 3)(x + 3) &lt; 0 ). The critical points are ( x = -3 ) and ( x = 3 ). Analyzing the intervals, we find that the solution to the inequality is ( -3 &lt; x &lt; 3 ). Therefore, the values of ( x ) that satisfy the inequality are those in the open interval ( (-3, 3) ).


What inequality suits the graphs below?

I'm unable to view or analyze graphs directly. However, if you describe the key features of the graphs, such as the direction of the lines, shaded regions, or specific points, I can help you determine the appropriate inequality that suits them.


How do tell the solution of an inequality?

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The equation ( y = -x + 4 ) represents a linear boundary line in a two-dimensional coordinate plane. The inequality ( y &lt; -x + 4 ) indicates that we are interested in the region below this line. The line itself is not included in the solution set, as indicated by the strict inequality, which distinguishes the boundary from the solutions. Thus, the boundary line serves as a critical demarcation for the area that satisfies the inequality.


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