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Daisy looks at the inequality 12-x>5 and says I subtract from 12 and want a result that is bigger than 5. That means that all the solutions should be valued of x that are smaller than something. Provide solutions to the inequality.

Respuesta :

frika

Answer:

[tex]x<7[/tex]

Step-by-step explanation:

Daisy looks at the inequality [tex]12-x>5[/tex] and says I subtract from 12 and want a result that is bigger than 5.

This means that subtracted number should be smaller than [tex]12-5=7[/tex].

Thus, the solutions to the inequality [tex]12-x>5[/tex] are all values of [tex]x[/tex] such that

[tex]x<7[/tex]

You can solve the inequality in following way:

[tex]12-x>5\\ \\12-x-12>5-12\ [\text{Use subtraction property}]\\ \\-x>-7\\ \\x<7\ [\text{Multiplying the inequality by -1 changes the sign of inequality}][/tex]

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