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How do you solve #8z-9>=-15# and graph the solution on a number line?

Answer 1

Isaiah Anthony

#z>=-6/8=-3/4#

We perform operations on an inequality in pretty much the same way we do with an equality.

#8z-9>=-15#

#8z>=-6#

#z>=-6/8=-3/4#

And so on a number line, we draw a solid dot on #-3/4# (indicating that the solution includes all the points leading up to and including #-3/4#) and then draw a ray to the right (essentially an arrow starting at the dot and heading towards #+oo#)

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Answer 2

Ethan Adkins

z ≥ -1.5 [ ]-----o---------------> -1.5

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve #8z-9&gt;=-15# and graph the solution on a number line?

How do you solve #8z-9>=-15# and graph the solution on a number line?