3 years ago

Graph the solution of this inequality: 4.52 – 100 > 125 Drag a point to the number line.

Mathematics

1 answer:

creativ13 [48]3 years ago

4 0

Answer:

starting on 50 going right, using the open circle

Step-by-step explanation:

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Which number line shows the solution set for |y-9| <12

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Option c

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Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function $f(x) = |x|$ x> 0 for all real numbers.

Then the inequation:

$|y-9| \leq 12$ has two cases

$(y-9)$ if $y \geq 9$ (i)

$-(y-9)$ if $y < 9$ (ii)

We solve the case (i)

$y \leq 9 + 12\\y\leq21$

We solve the case (ii)

$-y +9 \leq 12\\-y \leq 12-9\\y \geq -3$

Then the solution is:

$y\geq-3$ or $y \leq 21$

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