For which values of a the system 3−7x < 3x−7 ,1+2x < a+x has no solutions?
1 answer:
Answer:
a= -infinity to 3
Step-by-step explanation:
Given
Required
Determine the value of a such that the inequality has no solution
Considering the first inequality (<em>Solve for x)</em>:
Collect Like Terms
Divide both sides by 10
Reorder
This means that the least value of x is 2;
Substitute in the second equation
Collect Like Terms
Reorder
This means that the least value of a is 4
Hence;
<em>The values of a for which the system has no solution is -infinity to 3</em>
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