Maths-
General
Easy

Question

Solve-4(3x-1) +6x≥16 and graph the solution.

hintHint:

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

The correct answer is: -2≥x


    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 negative 4 left parenthesis 3 x minus 1 right parenthesis plus 6 x greater or equal than 16 end cell row cell negative 12 x plus 4 plus 6 x greater or equal than 16 end cell row cell 4 minus 6 x greater or equal than 16 space space space space space space space space space space space space space end cell row cell 4 minus 16 greater or equal than 6 x space space space space space space space space space space space space space space end cell row cell negative 12 greater or equal than 6 x space space space space space space space space space space space space space space space space space end cell row cell fraction numerator negative 12 space space space space space space space space space space space space space space space space space space space over denominator 6 end fraction greater or equal than x space end cell row cell negative 2 greater or equal than x 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
    Step 2 of 2:
    Graph the inequality corresponding to the solution,

    We use the complete line since we include the end point.
     

    Whenever we have an inequality that has the symbol <= or >=, we use a complete line to graph the solution.

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