answer is -1 < x < 5
-|x - 2|+ 9 > 6
Rearrange the terms
-|x - 2| > 6 - 9
-|x - 2| > - 3
then divide both sides of the inequality by the co- efficient of variable
|x - 2| < 3
convert the absolute inequality to standard inequality
-3 <x - 2 < 3
separate compound inequalities into system of inequality
{x - 2}> -3
{x - 2 < 3}
Rearrange variable to the left side of the equation
x > -3 + 2
calculate the sum or difference
x > -1
x -2 < 3
Rearrange variable to the left side of the equation
x < 3 + 2
calculate the sum or difference
x < 5
x > -1 and x < 5
Find intersection
-1 < x < 5
Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are deemed equal which is shown by the symbol =. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
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SPJ9
Answer:
x=5 2/11
Step-by-step explanation:
its either 5 2/11 or 57/11
Answering pretty sure yes
Step-by-step explanation:
Answer:
Step-by-step explanation:
D
Answer:
A) See attached.
B) Cheryl owes the bank more.
Step-by-step explanation:
Given account balances:
- John: -$2.75
- Cheryl: -$3.00
- Andrew: $2.75
(Andrew has as much savings in his account as the amount John owes).
<h3><u>Part A</u></h3>
- Draw a straight, horizontal line with arrows on both ends.
- Place a tick in the center of the line and label it zero.
- Draw 4 evenly spaced ticks either side of the zero.
- Number the ticks to the right of the zero 1, 2, 3 and 4.
- Number the ticks to the left of the zero -1, -2, -3, and -4.
- Mark -2.75, -3 and 2.75 on the number line.
- Label the marks with John, Cheryl and Andrew.
(See attached number line).
<h3><u>Part B</u></h3>
The <u>absolute value</u> of a number is its <u>positive numerical value</u>.
To calculate how much John and Cheryl owe the bank, take the absolute values of their account balances:
As 3.00 > 2.75, Cheryl owes the bank more.