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Question
Which is the solution to the inequality? 12x+3≤5
(1 point)
Responses

x≤4
x is less than or equal to 4

x≤7
x is less than or equal to 7

x≤1
x is less than or equal to 1

x≥4
x is greater than or equal to 4

1 answer

To solve the inequality \( 12x + 3 \leq 5 \), follow these steps:

  1. Subtract 3 from both sides: \[ 12x + 3 - 3 \leq 5 - 3 \] \[ 12x \leq 2 \]

  2. Divide both sides by 12: \[ x \leq \frac{2}{12} \] \[ x \leq \frac{1}{6} \]

So, the correct interpretation of the solution is:

  • \( x \leq \frac{1}{6} \)

This means that none of the choices you provided match the correct answer, which indicates \( x \) is less than or equal to \( \frac{1}{6} \).

However, if these were the options given and based on the closest valid option, it seems none of the choices fit the correct inequality solution. If there was a possible typo or if \( \frac{1}{6} \) was misrepresented, please let me know!