Respuesta :

Answer:

Any number greater than -2.92 will satisfy the above condition.

One possible number could be -2 as -2 > -2.92.

Step-by-step explanation:

Let the number be 'x'.

Given:

Three-tenths more than the product of -4 and the unknown number is less than 11.98.

Therefore, framing the above in equation form we get

Producto -4 and 'x' is [tex]-4x[/tex]

Three-tenths more than [tex]-4x[/tex] is [tex]-4x+\frac{3}{10}[/tex]

Now, the above expression is less than 11.98. So,

[tex]-4x+\frac{3}{10}<11.98[/tex]

Solving for 'x', we add -[tex]\frac{3}{10}[/tex] both sides,

[tex]-4x<11.98-\frac{3}{10}\\-4x<11.98-0.3\\-4x<11.68[/tex]

Now, dividing both sides by -4 will reverse the inequality sign. Therefore,

[tex]x>\frac{11.68}{-4}\\x>-2.92[/tex]

Therefore, any number greater than -2.92 will satisfy the above condition.

So, one possible number could be -2 as -2 > -2.92.

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