Answer:
Non-repeating decimal
Step-by-step explanation:
As a example, 32.93729, would be a never ending number. Which means it's not a rational number, it is a irrational number.
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.
"Four times..." means we're multiplying something by 4.
"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.
"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.
So, the resulting inequality is 4(x + 15) ≤ 120.
Simplify the inequality.
4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4
Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.
In interval notation it would look something like this:
[15, ∞)
In set builder notation it would look something like this:
{x | x ∈ R, x ≤ 15}
It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
Equations are steeper when their slope's positive value is higher (ignore negatives when determining how steep a slope is). The slope is the value in front of x. If there isn't a value in front of x, then it is assumed to be 1.
Answer:
inverse operations is with oppisite operations that undo each other.
open circle is circle not filled in to show that the point is a border value and is not included as part of the solution set.
like terms is terms that have the same varible raised to the same exponent.
ordered pair is a group of two numbers written in the form (x, y) where the x value represents a horizontal position.
the last one numeric expressions is an expression involving only constants
Step-by-step explanation:
In this question, you're solving for x.
Solve for x:
2(x - 8) + 4x = 6(x - 2) - 4
Distribute the 2 to the variables inside the parenthesis.
2x - 16 + 4x = 6(x - 2) - 4
Distribute the 6 to the variables inside the parenthesis.
2x - 16 + 4x = 6x - 12 - 4
6x - 16 = 6x - 12 - 4
6x - 16 = 6x - 16
Subtract 6x from both sides
-16 = -16
Add 16 to both sides
0 = 0
Answer:
All real numbers and solutions
