Respuesta :
Answer:
-15x<=45 and 14x<=-42
x>=45/-15 and x<=-42/14
x>=-3 and x<=-3
so x=-3
Step-by-step explanation:
The solution to the system of inequality −15x+60 ≤ 105 and 14x+11 ≤ −31x is x= -3.
What is a System of Inequality?
A system of Inequality is a set of inequalities in one or more variables.
The inequalities plotted in the graph have a common solution shown by the shaded area.
Th inequalities are:
−15x+60 ≤ 105
14x+11 ≤ −31
The solution of the system of inequality has to be determined.
-15x +60 ≤ 105
Adding (-60) on both sides,
-15x ≤ 105 -60
-15x ≤ 45
Dividing by 15 on both sides
-x ≤ 45/15
-x ≤ 3
x ≥ -3
14x+11 ≤ −31
Adding -11 on both sides
14x ≤ -31 - 11
14x ≤ -42
Dividing by 14 on both sides
x ≤ -42/14
x ≤ -3
The common point in the system of inequalities is x = -3.
The solution to the system of inequality is x = -3.
To know more about System of Inequality
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