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stuck on how to approach this maths question watch

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    solve the following:
    -2<x-3<5
    1<x+1<9

    Solve the following pairs of inequalities, find the integer value which satisfies both of them.
    x-3>2 and 2x+1<15
    1-2x<17 and (2-3x)/10 > 2
    how do i do these types of questions im not to sure thanks
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    (Original post by Gent2324)
    solve the following:
    -2<x-3<5
    1<x+1<9

    Solve the following pairs of inequalities, find the integer value which satisfies both of them.
    x-3>2 and 2x+1<15
    1-2x<17 and (2-3x)/10 > 2
    how do i do these types of questions im not to sure thanks
    Can you solve inequalities on their own, so can you solve x-3>2 ?
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    (Original post by B_9710)
    Can you solve inequalities on their own, so can you solve x-3>2 ?
    yes x>5
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    Whatever you do to one side of the inequality you must do to both. So for your first example: −2<α−3<5 add 3 to both sides do you get 1<α<8 where α is x
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    (Original post by Gent2324)
    yes x>5
    So solve each of the inequalities separately and then you can put them together.
    For instance if I solve two inequalities and I get -1<x<6 and -2<x<5 combining these I'd get -1<x<5 and x must satisfy both inequalities.
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    (Original post by Y11_Maths)
    Whatever you do to one side of the inequality you must do to both. So for your first example: −2<α−3<5 add 3 to both sides do you get 1<α<8 where α is x
    ah ok i think i get it now, do you mean to add 3 on all 3 sides?

    (Original post by B_9710)
    So solve each of the inequalities separately and then you can put them together.
    For instance if I solve two inequalities and I get -1<x<6 and -2<x<5 combining these I'd get -1<x<5 and x must satisfy both inequalities.
    ah alright so for
    1-2x<17 and (2-3x)/10 > 2

    1<17+2x so -16<2x
    -8<x

    (2-3x)/10 > 2
    2-3x > 20
    2>20+3x
    -18>3x
    -6>x
    so the is the final inequality -8<x<-6
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    (Original post by Gent2324)
    ah alright so for
    1-2x<17 and (2-3x)/10 > 2

    1<17+2x so -16<2x
    -8<x

    (2-3x)/10 > 2
    2-3x > 20
    2>20+3x
    -18>3x
    -6>x
    so the is the final inequality -8<x<-6
    Yes
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