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What's the solution set of –3 < x + 5 < 7?

Sagot :

[tex]\left \{ {{-3<x+5} \atop {x+5<7}} \right.[/tex]

[tex]\left \{ {{-3+(-5)<(x+5)+(-5)} \atop {(x+5)+(-5)<7+(-5)}} \right.[/tex]

[tex]\left \{ {{-3-5<x+5-5} \atop {x+5-5<7-5}} \right.[/tex]

[tex]\left \{ {{-8<x} \atop {x<2}} \right.[/tex]

[tex]\left \{ {{x>-8} \atop {x<2}} \right.[/tex]

[tex]-8<x<2[/tex]

[tex]x[/tex] ∈ [tex](-8,2)[/tex]

Answer:

-8(less than) X (less than) 2

when I put less than I mean the sign this should be the answer double check me