How do you solve $3y - 4\leq - 10$ ?

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Answer 1 · 2017-07-01T15:49:38

See a solution process below:

First, add $color(red)(4)$ to each side of the inequality to isolate the $y$ term while keeping the inequality balanced:

$3y - 4 + color(red)(4) <= -10 + color(red)(4)$

$3y - 0 <= -6$

$3y <= -6$

Now, divide each side of the inequality by $color(red)(3)$ to solve for $y$ while keeping the inequality balanced:

$(3y)/color(red)(3) <= -6/color(red)(3)$

$(color(red)(cancel(color(black)(3)))y)/cancel(color(red)(3)) <= -2$

$y <= -2$

How do you solve 3y - 4\leq - 103y - 4\leq - 10?