I=prt,,5.00=.0125*1212p,,p=5.00/.0125*1212=?? Use the calculator
I domt get what you mean by coordinate pair could you explain plseas
Answer:
x is in the range [-1,4]
Step-by-step explanation:
I haven't worked with absolute value inequalities in awhile, but let's take a wack at this.
We are given the following inequality:
| 2x - 3 | <= 5
This implies two possible cases:
[1] -5 <= 2x -3
Or
[2] 2x - 3 <= 5
So let's solve x for both of these cases:
[1] -5 <= 2x - 3
-2 <= 2x
-1 <= x
[2] 2x - 3 <= 5
2x <= 8
x <= 4
So from these cases, we can say the following is true:
x >= -1 and x <= 4
Thus, we can write this in the form
-1 <= x <= 4
Or in interval notation:
{ x is element of reals | -1 <= x <= 4}
Also written as
x is in the range [-1,4]
Where the closed brackets represent 1 and 4 as possible answers whereas parenthesis would imply they were not.
Cheers.
Distribute -7 because of math
-21-56x+5x≤1-62x
add like terms because you aint chaingin nothing
-21-51x≤1-62x
add 62x to both sides (addition property of equality, where a=a and b=b, a+b=a+b) and also (addative inverse, a+(-a)=0) that turns the -62x to 0
-21+11x≤1
add 21 to both sides (additiona proerty of equality and addativeinverse)
11x≤22
divide both sides by 11 (division property of equality, if a=a and b=b, then a/b=a/b)
x≤2
4x - 2x + 8 = 6(x + 4) Given
(4x - 2x) + 8 = 6(x + 4)
2x + 8 = 6(x + 4) Combine like terms
2x + 8 = (6)(x) + (6)(4)
2x + 8 = 6x + 24 Distributive Property
2x - 6x + 8 = 6x - 6x + 24
-4x + 8 = 24 Subtraction Property of Equality
-4x + 8 - 8 = 24 - 8
-4x = 16 Subtraction Property of Equality
-4x : (-4) = 16 : (-4)
x = -4 Division Property of Equality