Rewrite the equation 52x−8−1=9 as two equations joined by “and.”(1 point)

Question

Rewrite the equation  52x−8−1=9  as two equations joined by “and.”(1 point)
Responses

52x−8=9 and x≠−8
Start Fraction 5 over 2 x minus 8 End Fraction equals 9  and  x does not equal negative 8

52x−8−1=9 and x≠4
Start Fraction 5 over 2 x minus 8 End Fraction minus 1 equals 9  and  x does not equal 4

52x−8−1=9 and x≠8
Start Fraction 5 over 2 x minus 8 End Fraction minus 1 equals 9  and  x does not equal 8

52x−8−1=9 and x≠−4

GPT-4o mini · Answer

To rewrite the equation $ 52x - 8 - 1 = 9 $ as two equations joined by "and," we can first simplify the equation. Starting with: $$ 52x - 9 = 9 $$ Now, we can separate this into two statements: 1. The equation itself: $ 52x - 9 = 9 $ 2. A condition on $ x $: we can say $ x \neq -4 $ (since $ x = -4 $ would make the left-hand side equal $ -1 $, which does not satisfy the original equation). Thus, the rewritten version can be: $$ 52x - 9 = 9 \text{ and } x \neq -4 $$ Since the options you provided include a different version of $ 52x - 8 - 1 = 9 $, I suggest verifying the conditions and options available. However, please check your inequality since there appears to be no option that aligns exactly based on the standard simplification. If the condition $ x \neq -4 $ aligns with your needs, that option would be the correct reformulation.