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How do you solve and graph #P - 1.5 < 1.5#?

Answer 1

Solve as if you were solving an equation. Write a circle on the hash mark representing the number #3.0# on the number line. Shade the entire number line to the left of the number #3.0#.

#P-1.5<1.5#

Add #1.5# to both sides of the inequality.

#P<1.5+1.5##=#

#P<3.0#

On a number line, circle the hash mark representing #3.0#. Then shade the line to the left of #3.0# all the way to the arrow. The interval notation for this inequality is #(-oo,3)#.

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Answer 2

Savannah Anderson

To solve the inequality ( P - 1.5 < 1.5 ):

Add 1.5 to both sides of the inequality to isolate ( P ).
Simplify both sides of the inequality.
Solve for ( P ).

The solution for ( P ) is ( P < 3 ).

To graph the inequality on a number line:

Draw a number line.
Mark a point at 3.
Since the inequality is ( P < 3 ), shade the region to the left of 3 on the number line to represent all values of ( P ) less than 3.

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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 and graph #P - 1.5 &lt; 1.5#?

How do you solve and graph #P - 1.5 < 1.5#?