Maths-
General
Easy

Question

Solve each inequality and graph the solution :
fraction numerator 2 x over denominator 3 end fraction plus 14 minus 3 x greater than negative 7

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: 9>x


    Step 1 of 2:
    Find the LCM of the inequality;
    fraction numerator 2 x plus 42 minus 9 x over denominator 3 end fraction greater than fraction numerator negative 21 over denominator 3 end fraction
    Take out the three from the inequality;
    2x+42-9x>-21
    Now, rearrange and 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 2 x plus 42 minus 9 x greater than negative 21 end cell row cell 42 plus 21 greater than 9 x minus 2 x end cell row cell 63 greater than 7 x end cell row cell 63 over 7 greater than x end cell row cell 9 greater than x end cell end table
    Step 2 of 2:
    Graph the solution of the inequality;

                                                           

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

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