How do you solve and graph - x - 3 &lt; - 5 ?

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How do you solve and graph       -    x    -    3    &amp;lt;    -    5   ?

zlepljalz2 · Accepted Answer

Step 1To solve, first treat the inequality like an equation.      -    x    -    3    &amp;lt;    -    5  Add 3 to each side to isolate the variable. So you get      -    x    &amp;lt;    -    2  To get rid of the negative, you must divide by -1 on both sides because x is being multiplied by -1. When dividing an inequality by a negative number, you have to flip the sign.Final answer:      x    &amp;gt;    2  Now use this equation to graph. You are trying to locate all points where the x value is greater than 2.First, find the horizontal line       x    =    2   . Since the inequality is greater than and not greater than or equal to 2,       x    =    2   is not a value.So this line will be dotted. (if the equation was       x    ≥    2   , the line would be solid.) You are looking for all points where x is greater than 2, so shade in the whole portion of the graph which is to the right of the dotted line.These are all the points whose x-values are greater than 2.

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