How to solve and graph |5t-2|le 6?

Elise Griffith

Elise Griffith

Answered question

2023-02-15

How to solve and graph | 5 t - 2 | 6 ?

Answer & Explanation

Jerimiah Short

Jerimiah Short

Beginner2023-02-16Added 6 answers

Distance is measured by absolute values, so that | - x | equals x . But when you try to solve for this, you have to consider that the question could be | x | or | - x | and you will get the same answer. Consequently, both circumstances require a solution.
1) 5 t - 2 6
solve for t
5 t 8
t < = 8 5
2) - ( 5 t - 2 ) 6
5 t - 2 - 6
note that the direction of the sign changed
5 t - 4
t - 4 5
Now, we are saying that t is greater than - 4 5 but less than 8 5 , which you can see in this graph

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