Solve the inequality and graph the solution: 4 5 x − 1 &lt; 5 6 x + 2

Question

Solve the inequality and graph the solution:      4    5    x  −  1  &amp;lt;      5    6    x  +  2

tiltat9h · Accepted Answer

Step 1We have the inequality      4    5    x  −  1  &amp;lt;      5    6    x  +  2Collect the terms containing x in one side.  ⇒      4    5    x  −      5    6    x  &amp;lt;  2  +  1  ⇒            24      x      −      25      x        30    &amp;lt;  3  ⇒  −      x    30    &amp;lt;  3Multiply above inequality with -30 on both the sides.  ⇒  −      x    30    (  −  30  )  &amp;gt;  3  (  −  30  )Sign of inequality changes when they get multiply or divided by any -ve number.  ⇒  x  &amp;gt;  −  90Step 2Now let&#039;s graph the solution   x  &amp;gt;  −  90On the number line.Monk -90 on the below number line.As x is greater than the -90, so all the number lying in the RHS, of -90 is the solution of the inequality.

Solve the inequality and graph the solution: 4/5 x-1<5/6 x+2

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