How do you solve 78 &gt; 4 x + 6 ?

Question

How do you solve       78    &amp;gt;    4    x    +    6   ?

Marco Ford · Accepted Answer

Step 1First, subtract                     6             from each side of the inequality to isolate the x term while keeping the inequality balanced:      78    -                  6              &amp;gt;    4    x    +    6    -                  6                  72    &amp;gt;    4    x    +    0        72    &amp;gt;    4    x  Now, divide each side of the inequality by                     4             to solve for x while keeping the inequality balanced:            72                        4                      &amp;gt;                  4        x                              4                          18    &amp;gt;                                                                                                            4                                                                                      x                                                        4                                                18    &amp;gt;    x  We can reverse or &quot;flip&quot; the entire inequality to state the solution in terms of x:      x    &amp;lt;    18

mllewestblam2 · Accepted Answer

Step 1For now, we can treat the inequality sign like an equal sign. We perform the normal operations as if this were       78    =    4    x    +    6   .We start by subtracting 6 from both sides to get:      72    &amp;gt;    4    x  We can switch the sides if we like:      4    x    &amp;lt;    72  And we can divide both sides by 4 to get:      x    &amp;lt;    18   or       18    &amp;gt;    x  The direction of the inequality does not change since I did not multiply or divide it by a negative. I only flipped the sign because the convention is usually to have the variable on the left.

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