Answer:
x<6/5, x>14/5
Step-by-step explanation:
Steps
$5\left|x-2\right|+4>8$
$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$
$5\left|x-2\right|+4-4>8-4$
$\mathrm{Simplify}$
$5\left|x-2\right|>4$
$\mathrm{Divide\:both\:sides\:by\:}5$
$\frac{5\left|x-2\right|}{5}>\frac{4}{5}$
$\mathrm{Simplify}$
$\left|x-2\right|>\frac{4}{5}$
$\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad\mathrm{or}\quad\:u\:>\:a$
$x-2<-\frac{4}{5}\quad\mathrm{or}\quad\:x-2>\frac{4}{5}$
Show Steps
$x-2<-\frac{4}{5}\quad:\quad x<\frac{6}{5}$
Show Steps
$x-2>\frac{4}{5}\quad:\quad x>\frac{14}{5}$
$\mathrm{Combine\:the\:intervals}$
$x<\frac{6}{5}\quad\mathrm{or}\quad\:x>\frac{14}{5}$
The answer to (3x-1)2=5 is x= 7/6
Answer:
Step-by-step explanation:
Given
m cups of water = p cups of rice
Required
Cups of water required for p + 2 cups of rice
<em>The question shows a direct proportion between cups of rice and cups of water.</em>
<em>So, the first step is to get the proportionality constant (k)</em>
<em />
This is calculated using the following expression;
Where k represents cups of water and p represents cups of rice
Make k the subject of formula
Let x represents cups of water when cups of rice becomes p + 2;
k becomes:
Equate both expressions of k; to give
Multiply both sides by p + 2
<em>Hence, the expression that represents the cups of water needed is </em><em></em>
Answer:
4
Step-by-step explanation: you have t do y plus 10 and then add 4 minus -2
Answer:
D. The numbers distance from zero in the number line.
Step-by-step explanation:
