Maths-
General
Easy

Question

Solve inequality: 8 ≤-4 (x-1) and then graph the solution.

hintHint:

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

The correct answer is: -1≥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 8 less or equal than negative 4 left parenthesis x minus 1 right parenthesis end cell row cell 8 less or equal than negative 4 x plus 4 end cell row cell 8 minus 4 less or equal than negative 4 x end cell row cell 4 less or equal than negative 4 x space space space space space space end cell row cell fraction numerator 4 over denominator negative 4 end fraction greater or equal than x space space space space space space space space end cell row cell negative 1 greater or equal than x space space space space space space space space space space end cell end table space space space space space
    Here, the direction of the inequality changes because we divide them with a negative number.
    Step 2 of 2:
    Graph the inequality corresponding to the solution;

                                                                             

    When an inequality is divided or multiplied by a negative number, the direction of the inequality symbol changes.

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