Complete the conditional statement. If -2a > 6, then _____. a > 3 a < 3 a < -3 a > -3
1 answer:
Hi there!
Let's solve this inequality step by step!
First divide both sides by 2.
To find the value of a, we must get rid of the negative sign in front of it, so we divide both sides by -1. When dividing by a negative, we must flip the sign.
Hence,
Additonal note:
This solution makes sense because of the following reason: when a number that has been made negative is bigger than 3, the number itself must be smaller than -3 (when we add an extra minus sign to -3, it becomes 3; so every number smaller than -3 will become bigger than 3 when we add another minus sign).
~ Hope this helps you!
Let's solve this inequality step by step!
First divide both sides by 2.
To find the value of a, we must get rid of the negative sign in front of it, so we divide both sides by -1. When dividing by a negative, we must flip the sign.
Hence,
Additonal note:
This solution makes sense because of the following reason: when a number that has been made negative is bigger than 3, the number itself must be smaller than -3 (when we add an extra minus sign to -3, it becomes 3; so every number smaller than -3 will become bigger than 3 when we add another minus sign).
~ Hope this helps you!
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Answer:
I assume you know Arithmetic Progression .
so, we have to find the first and last 4-digit number divisible by 5
first = 1000 , last = 9990
we have a formula, = a + (n-1)d
here, is the last 4-digit number divisible by 5.
n is the number of 4-digit even numbers divisible by 5
d is the common difference between the numbers, which is 10 in this case
a is the first 4-digit number divisible by 5
9990 = 1000 + (n-1)*10
899 = n-1
n = 900
Hence, there are 900 4-digit even numbers divisible by 5