Solve the inequality. Round your answer to the nearest tenth.

X^2 + 4⋅x - 9 5

Question

Solve the inequality. Round your answer to the nearest tenth.

X^2 + 4⋅x - 9 > 5

tkhunny · Answer

Subtract 5.
Find where the new expression is zero (0).
Pick the correct sides of those zeros.

anonymous · Answer

I really don't understand what you mean by that

tkhunny · Answer

Please subtract 5.  You must understand this or we cannot proceed.

anonymous · Answer

okay X^2+4x-14>0 ?

tkhunny · Answer

Change to = 0 and solve for x.

anonymous · Answer

$$x ^{2}+4x-9>5$$
$$x ^{2}+4x>5+9,x ^{2}+4x+4>14+4$$
$$\left( x+2 \right)^{2}>18$$
$$\left| x+2 \right|>3\sqrt{2}$$
$$x+2<-3\sqrt{2}and x+2 > 3\sqrt{2}$$
find x

tkhunny · Answer

This gives $x = 3\sqrt{2} - 2$ and $x = -3\sqrt{2} - 2$ as decision points.

You can be very analytical about it from here or you can just try things out.

What happens if we try x = -7
What happens if we try x = 0
What happens if we try x = 3

anonymous · Answer

x<-3*1.4-2 or x <-5.2-2 or x < -7.2 x >3*1.4-2 or x > 5.2-2 or x > 3.2