Mathematics

Question

Which graph shows the solution set of the inequality? 2.9(x+8)< 26.1
Which graph shows the solution set of the inequality? 2.9(x+8)< 26.1
Which graph shows the solution set of the inequality? 2.9(x+8)< 26.1
Which graph shows the solution set of the inequality? 2.9(x+8)< 26.1
Which graph shows the solution set of the inequality? 2.9(x+8)< 26.1

2 Answer

  • Hello there!


    The answer is the last graph.

    The solution for the inequality is : x < 1



  • we have

    [tex]2.9(x+8)< 26.1[/tex]

    Solve the inequality

    [tex]2.9(x+8)< 26.1[/tex]

    Divide both sides by [tex]2.9[/tex]

    [tex](x+8)< (26.1/2.9)[/tex]

    [tex](x+8)< 9[/tex]

    Subtract [tex]8[/tex] from both sides

    [tex]x< 9-8[/tex]

    [tex]x< 1[/tex]

    the solution is the interval --------> (-∞,1)

    therefore

    the answer is

    The solution in the attached figure

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