A student solves the following equation for all possible values of x: StartFraction 8 Over x 2 EndFraction = StartFraction 2 Over x minus 4 EndFraction His solution is as follows: Step 1: 8(x â€" 4) = 2(x 2) Step 2: 4(x â€" 4) = (x 2) Step 3: 4x â€" 16 = x 2 Step 4: 3x = 18 Step 5: x = 6 He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0. Which best describes the reasonableness of the student’s solution?.

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should you really be posting this isn't math boi.

whatare you sayig

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b: |12 – x| ≤ 0.25

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let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

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