Inequalities help us to compare two unequal expressions. There exists no solution to the given set of inequalities.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given Inequalities can be solved as,
5 - x > 7
-x > 7 - 5
-x > 2
x < -2
2x + 3 ≥ 13
2x ≥ 10
x ≥ 5
As per the solution of the two inequalities, the value of x should be less than -2 but at the same time, it should be more than or equal to 5, which is impossible. Thus, there is no solution for the given inequalities.
This can be confirmed by graphing the two inequalities, as shown below. Since there is no area in common between the two inequalities, there exists no solution to the given set of inequalities.
Learn more about Inequality:
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Answer:
x>7
Step-by-step explanation:
We do 2 steps
2x > x + 7
that means
2x - x > x - x + 7
then
x > 7
That is the answer. Hope it useful for you!
Answer: No, the friend is correct. In any function, each input value can only lead to one output value. When you input 3 for the x-values, you would get two output values because 3 is included in both equations. To fix this, you need to have the 3 not included in one of the equations.
For example, you could say 
or 
because the input value of 3 would not be included twice.
If you look at the attached screenshot, you will see that if you keep your friend's function, inputting 3 will result in two outputs of 4 and -3, so therefore, 
cannot represent a piecewise function.
0.16 so 16 cents per cookies
Answer:
Cheapest cost to pay = £906
Step-by-step explanation:
Given that:
Rice to supply = 50 tonnes
Option A:
Big van has capacity of 15 tonnes.
Number of big vans = 
It means that 4 big vans will be needed for transporting 50 tonnes of rice.
Cost of 4 vans = 4*250 = £1000
Option B:
Small van has capacity of 9 tonnes.
Number of small vans = 
It means that 6 small vans will be nedded for transporting 50 tonnes of rice.
Cost of 6 vans = 6*151 = £906
Therefore,
The company can transport the rice through small vans.
Hence,
Cheapest cost to pay = £906
