Carson uses cubes to make a pattern of shapes. The first shape has a height of
1 answer:
Answer:
The total number of cubes in each shape will alternate between even and odd.
The length of each shape will alternate between even numbers and odd numbers
Step-by-step explanation:
I have drawn a picture of the cubes below.
The cubes for Step 1 are black.
Those added in Step 2 are pink.
Each step has cubes of a different colour.
The total number of cubes in each shape (Column 4 in the table) alternates between even and odd.
The length of each shape (Column 3 in the table) alternates between even and odd.
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Assuming we're dealing with , which is the same as writing (x+2)/(-5) < 4, then the answer is choice C.
We multiply both sides by -5 and this will flip the inequality sign.
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Multiplying or dividing both sides by a negative number flips the inequality sign.
An example would be saying -2x < 10 leads to x > -5
What we can do is divide both sides by -2 and flip the inequality sign, or we could follow the steps shown below
- -2x < 10
- 0 < 10+2x ... adding 2x to both sides
- -10 < 2x ... subtracting 10 from both sides; this is one way to see why the sign flip happens
- 2x > -10
- x > -10/2 ..... dividing both sides by 2
- x > -5