Solve (x + 5 < 4) ∩ (x - 3 > -6). {x | -3 < x < -1} {x | x < -3 or x > -1} {all real number

Question

Solve (x + 5 < 4) ∩ (x – 3 > -6).

{x | -3 < x < -1}
{x | x < -3 or x > -1}
{all real numbers}

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Caroline 3 weeks 2021-09-26T16:51:53+00:00 1 Answer 0

Answers ( )

    0
    2021-09-26T16:53:20+00:00

    Answer:

    {x | -3 < x < -1},   this choice is correct

    Step-by-step explanation:

    From the inequality  x + 5 < 4,  we rearrange   x + 5 – 5 < 4 – 5

    x < -1

    The other condition is  x – 3 > -6,  add 3 to both sides.

    x  > -6 + 3,   x > -3

    So we look for the intersection of  x < -1  and x > -3 on the real number line.

    -5, -4, -3, -2, -1, 0 , 1

    The intersection goes from -3 to -1 .

    -3 < x < -1

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45:7+7-4:2-5:5*4+35:2 =? ( )