How do you solve $1>=4x+9$ ?

Question

679 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-07T14:34:01

$x <= -2$

First, isolate the $x$ term on one side of the inequality while keeping the inequality balanced:

$1 - 9 >= 4x + 9 - 9$

$-8 >= 4x + 0$

$-8 >= 4x$

Next, solve for $x$ while keeping the inequality balanced:

$(-8)/4 >= (4x)/4$

$-2 >= (cancel(4)x)/cancel(4)$

$-2 >= x$

Finally, to put the solution in terms of $x$ we need to reverse or "flip" the inequality:

$x <= -2$

How do you solve 1>=4x+91>=4x+9?