Question

X>0 is necessary for x+2>1
Is the statement true or false?
Give justification in support of your answer.

Answer 1

Answer on Question #79104 - Math - Linear Algebra

$x>0$ is necessary for $x+2>1$

Is the statement true or false?

Give justification in support of your answer.

Solution.

$x+2>1\Rightarrow x>-1$. The set of values $x$ can take includes the set of positive numbers, therefore $x>0$ is not necessary for $x+2>1$. For example, take $x=-0.5$:

$-0.5+2=1.5>1,\text{but}-0.5<0$

Answer: false

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