Maths-
General
Easy

Question

Solve each inequality and graph the solution:
3x-24≤-2(2x-30)

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≤12


    Step 1 of 2:
    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 3 x minus 24 less or equal than negative 2 left parenthesis 2 x minus 30 right parenthesis end cell row cell 3 x minus 24 less or equal than negative 4 x plus 60 space space space space space end cell row cell 3 x plus 4 x less or equal than 60 plus 24 space space space space space space space space space end cell row cell 7 x less or equal than 84 space space space space space space space space space space space space space space space space space space space space space space space space space space end cell row cell x less or equal than 84 over 7 space space space space space space space space space space space space space space space space space space space space space space space space space space end cell row cell x less or equal than 12 space space space space space space space space space space space space space space space space space space space space space space space space space space end cell end table space space space
    Step 2 of 2:
    Graph the solution of the inequality:

                                                  

    Whenever we use the symbol ≤ or ≥, we use the endpoint as well. So, we use complete line to graph the solution.

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