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Write and solve the algebraic inequality.
The product of –3 and a number is at least -24.
A. -3x -24; x S 8
B. -3x -24; x 8
C. -3x <-24; x>-8
D. -3x >-24; x>-8

Respuesta :

Dead3ill

Step-by-step explanation:

Lets convert each sentence into an algebric inequality.

  • Product of -3 and a number (let it be x) :-

[tex] = > - 3 \times x = - 3x[/tex]

  • -3x is atleast -24

[tex] = > - 3x \geqslant - 24[/tex]

Lets solve the inequality.

Now , divide -3 on both the sides -

[tex] = > \frac{ - 3x}{-3} \geqslant \frac{ - 24}{ - 3} [/tex]

[tex] = > x \geqslant 8[/tex]

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