Maths-
General
Easy

Question

Solve each inequality and graph the solution :
fraction numerator negative 3 x over denominator 8 end fraction minus 20 plus 2 x greater than 6

hintHint:

Linear inequalities are expressions where any two values are compared by the inequality symbols<,>,≤&≥ .
We are asked to solve the inequality and graph it.

The correct answer is: x>16


    Step 1 of 2:
    Find the LCM of the inequality;
    fraction numerator negative 3 x minus 160 plus 16 x over denominator 8 end fraction greater than 48 over 8.
    Take out the eight from the inequality. Thus, we have:
    negative 3 x minus 160 plus 16 x greater than 48.
    Now, rearrange them to solve the inequality;
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell negative 3 x minus 160 plus 16 x greater than 48 end cell row cell 13 x greater than 48 plus 160 end cell row cell 13 x greater than 208 end cell row cell x greater than 208 over 13 end cell row cell x greater than 16 end cell end table
    Step 2 of 2:
    Graph the solution of the inequality;

                                                         

    When we have an inequality with the symbols < or > , we use dotted lines to graph them. This is because we do not include the end point of the inequality.

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