Select two values for `x` that would make `8+2x\le20` true.

1 answer

To solve the inequality \( 8 + 2x \le 20 \), we first isolate \( x \).

  1. Subtract 8 from both sides: \[ 2x \le 20 - 8 \] \[ 2x \le 12 \]

  2. Divide both sides by 2: \[ x \le 6 \]

Now we have \( x \le 6 \). Any value less than or equal to 6 will satisfy the inequality. Here are two examples of such values:

  1. \( x = 5 \)
  2. \( x = 6 \)

Both of these values make \( 8 + 2x \le 20 \) true:

  • For \( x = 5 \): \[ 8 + 2(5) = 8 + 10 = 18 \quad (\text{which is } \le 20) \]

  • For \( x = 6 \): \[ 8 + 2(6) = 8 + 12 = 20 \quad (\text{which is } \le 20) \]

To summarize, two values for \( x \) that satisfy the inequality are \( 5 \) and \( 6 \).