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Solve 5x+12.5<23.1

. Write the rational number in your answer in decimal form to the hundredths place. Make sure to write your inequality so that x
comes first.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard.

(1 point)

1 answer

To solve the inequality \( 5x + 12.5 < 23.1 \), follow these steps:

  1. Subtract \( 12.5 \) from both sides:

    \[ 5x < 23.1 - 12.5 \]

    Calculate \( 23.1 - 12.5 \):

    \[ 23.1 - 12.5 = 10.6 \]

    So the inequality now is:

    \[ 5x < 10.6 \]

  2. Divide both sides by \( 5 \):

    \[ x < \frac{10.6}{5} \]

    Now calculate \( \frac{10.6}{5} \):

    \[ \frac{10.6}{5} = 2.12 \]

Thus, the solution can be written as:

\[ x < 2.12 \]

To write the inequality with \( x \) first, it becomes:

\[ x < 2.12 \]

So the final answer is:

\[ x < 2.12 \]