Math  /  Algebra

QuestionDetermine whether x=1x=1 and x=1x=-1 are sofutions to the absotule vatue inequabify 42x=5|4-2 x|=5
Is x=1x=1 a solution to the inequality? No Yes

Studdy Solution
Substitute x=1 x = -1 into the equation 42x=5 |4 - 2x| = 5 :
42(1)=4+2=6=6 |4 - 2(-1)| = |4 + 2| = |6| = 6
Since 65 6 \neq 5 , x=1 x = -1 is not a solution to the equation.
The answer to the question "Is x=1 x = 1 a solution to the inequality?" is No \boxed{\text{No}} .

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