How do you solve $5x - 1< 24$ ?

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Answer 1 · 2017-06-11T00:47:36

See a solution process below:

Step 1) Add $color(red)(1)$ to each side of the inequality to isolate the $x$ term while keeping the inequality balanced:

$5x - 1 + color(red)(1) < 24 + color(red)(1)$

$5x - 0 < 25$

$5x < 25$

Step 2) Divide each side of the inequality by $color(red)(5)$ to solve for $x$ while keeping the inequality balanced:

$(5x)/color(red)(5) < 25/color(red)(5)$

$(color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5)) < 5$

$x < 5$

How do you solve 5x - 1< 245x - 1< 24?