Geoff must mentally multiply –5 × 0.75 × 20. Which shows how Geoff could use the associative and commutative properties to make
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When you see questions of this nature, test the individual inequalities and look out for their intersection.
For
Choose a point in the lower or upper half plane created by the line
The above line is the one which goes through the origin.
Now testing (1,0) yields,
That is,
This statement is true. So we shade the lower half of
For
We test for the origin because, it is not passing through the origin.
This yields
This statement is false so we shade the upper half.
The intersection is the region shaded in B. The top right graph
For
Choose a point in the lower or upper half plane created by the line
The above line is the one which goes through the origin.
Now testing (1,0) yields,
That is,
This statement is true. So we shade the lower half of
For
We test for the origin because, it is not passing through the origin.
This yields
This statement is false so we shade the upper half.
The intersection is the region shaded in B. The top right graph
She can buy maximum of packages while staying within her budget.
Minimum spending limit $
.
Maximum spending limit $
.
Cost of one package of beads $
.
Number of packages of beads bought .
Cost of one package of charms $
.
Let the number of packages of beads bought be .
So, she can buy maximum of packages while staying within her budget.
Learn more about solving inequalities here: