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 first simplify the equation: 1. Combine the constants on the left side: $$ 52x - 9 = 9 $$ 2. Then, set it equal to 9: $$ 52x - 9 = 9 \quad \text{and} \quad x \text{ is not equal to any value that makes the equation undefined (if applicable)} $$ From here, we can isolate $ x $: $$ 52x = 18 $$ $$ x = \frac{18}{52} \quad \text{which simplifies to} \quad x = \frac{9}{26} $$ Since there are no restrictions on $ x $ that make this equation undefined, the final answer in the "and" format, based on recognizing the solution and stating that x is a valid number, would be: $$ 52x - 9 = 9 \quad \text{and} \quad x \neq \text{(no restrictions)} $$ However, the straightforward answer focusing solely on the equation without irrelevant restrictions is: $$ 52x - 9 = 9 \quad \text{and} \quad x \neq \text{undefined values (if we had any)} $$ Based on the provided options, it seems dealing with specific constraints might have led to confusion. Given the choices listed in your question, it appears none of the constraints specified correctly follow from the original equation. If you'd like to clarify that or focus on a particular solution, please let me know!