Mathematics

Question

Variables mathematics
Variables mathematics

2 Answer

  • Answer:

    We need to flip the symbol at the end of the question.

    answer: x<= 6.5

    Step-by-step explanation:

    Given inequality: 2(x-4)+5<=4(x-4)

    Distribute: 2x-8+5<=4x-16

    Undo a constant term from left side: 2x-3<= 4x-16

    Combining the like terms: 2x-4x<=-16+3

    Undo the coefficient term from left: -2x<=-13

    Undo the variable term: x<=(13/2)=6.5

    Now checking if this is write: Lets take x=6<6.5

    Put x=6 in given inequality:

    2(6-4)+5<=4(6-4)

    2(2)+5<=4(2)

    4+5<=8

    9<=8 (which is not possible)

    so we need to flip the inequality

    2(x-4)+5>=4(x-4)

    9>8

  • Answer:

    x<= 6.5 would be your answer

    Step-by-step explanation:

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