Respuesta :
Step-by-step explanation:
2x-1 <7
2x <7+1
2x/2 <8/2
x <4
5x+3 <3
5x <3-3
5x <0
x <0
The solution of the given inequalities is x < 0.
What is inequality ?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
We have,
2x - 1 < 7
And
5x + 3 < 3.
Now,
Take 2x - 1 < 7 ,
Now,
Rearrange variable terms to the left side of the equation,
i.e.
2x < 7 + 1
2x < 8
We get,
x < 4
Now,
Take 5x + 3 < 3,
Now,
Rearrange variable terms to the left side of the equation,
i.e.
5x < 3 - 3
5x < 0
We get,
x < 0
So,
The intersection of the two solution will give us the solution to the system of inequalities, i.e.
x < 0 is the solution to the inequalities.
Hence, we can say that the solution of the given inequalities is x < 0.
To know more about inequality click here
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