How do you solve $0.9 x + 6 \leq 1.3 x - 3$ $0.9x + 6 ≤ 1.3x - 3$ ?

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Answer 1 · 2018-07-08T16:33:13

$x \geq 22.5$ $x>=22.5$

Let's subtract $1.3 x$ $1.3x$ from both sides to get

$- 0.4 x + 6 \leq - 3$ $-0.4x+6<=-3$

Next, we can subtract $6$ $6$ from both sides to isolate the $x$ $x$ term. We now have

$- 0.4 x \leq - 9$ $-0.4x<=-9$

Next, we can divide both sides by $- 0.4$ $-0.4$ . Recall that when we multiply or divide by a negative, the inequality flips. We now have

$x \geq 22.5$ $x>=22.5$

Hope this helps!

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