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 ≥.
learn more about inequality equation here :https://brainly.in/question/15934172
SPJ9
19.25 (tax)
294.25 (total price)
135.75 (money left)
REASONING:
In this word problem it says Anna has 430 dollars. The phone costs 275 dollars. It also says that when she buys the phone, she will have to pay a tax of 7%.
To find how much tax she will pay, we must do [275] x [0.07]
After inputting this into a calculator, you will get 19.25 (tax)
To find the total price, all you have to do is add 19.25 to 275. When you do this, you will get 294.25 dollars (total price)
To find how much money she has left,
430-294.25=135.75 (money left)
There is no solution since 5 doesn't equal 45
As per the isosceles triangle theorem, if the two base angles are congruent then the legs are also congruent, so we must set the two legs equal to each other:
2z - 15 = 9
Add 15 to both sides:
15 - 15 = 0
15 + 9 = 24
Divide 2 from each side:
2z = 24
2z/2 = z
24/2 = 12
z = 12
Hence, the answer would be D: z = 12
To simplify <span>2x + 8 = -6, the easiest way is to manipulate the equation one step at a time:
</span>2x + 8 = <span>-6
</span>2x = <span>-14 (subtract 8 from both sides)
</span>x = -7 (divide both sides by 2)
