How do you solve and graph - x + 4 &gt; 3 ?

Question

How do you solve and graph       -    x    +    4    &amp;gt;    3   ?

odvucimo1pp17 · Accepted Answer

Step 1First, subtract                     4             from each side of the inequality to isolate the x term while keeping the inequality balanced:      -    x    +    4    -                  4              &amp;gt;    3    -                  4                  -    x    +    0    &amp;gt;    -    1        -    x    &amp;gt;    -    1  Now, multiply each side of the inequality by                     -        1             to solve for x while keeping the inequality balanced. However, because we are multiplying or dividing by a negative number we must reverse the inequality operator:                    -        1              ×    -    x                  &amp;lt;                            -        1              ×    -    1        x                  &amp;lt;              1  To graph the inequality we will draw a vertical line at 1 on the horizontal axis.The line will be a dashed line because the inequality operator does not contain an &quot;or equal to&quot; clause. This means the line is not part of the solution set.

London Ware · Accepted Answer

Step 1      -    x    +    4    &amp;gt;    3        -    x    &amp;gt;    3    -    4        -    x    &amp;gt;    -    1  Divide both sides by -1                    -        x                    -        1              &amp;gt;                  -        1                    -        1

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