How do you solve $0.6 > 1.4+2.4x$ ?

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Answer 1 · 2018-03-05T05:08:45

See a solution process below:

First, subtract $color(red)(1.4)$ from each side of the inequality to isolate the $x$ term while keeping the inequality balanced:

$0.6 - color(red)(1.4) > 1.4 - color(red)(1.4) + 2.4x$

$-0.8 > 0 + 2.4x$

$-0.8 > 2.4x$

Now, divide each side of the inequality by $color(red)(2.4)$ to solve for $x$ while keeping the inequality balanced:

$-0.8/color(red)(2.4) > (2.4x)/color(red)(2.4)$

$-0.bar3 > (color(red)(cancel(color(black)(2.4)))x)/cancel(color(red)(2.4))$

$-0.bar3 > x$

To state the solution in terms of $x$ we can flip or reverse the entire inequality:

$x < -0.bar3$

How do you solve 0.6 > 1.4+2.4x0.6 > 1.4+2.4x?