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

Answer 1

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.