Question

Can someone pls help will mark as brainliest

Answer 1

Answer:

x<-14

Step-by-step explanation:

Hello,

If we multiply by positive numbers it does not change the inequality, right?

So let's multiply by 10 both sides, it comes

$2(4x+1)+10<5(x-6) \\ \\\text{*** develop ***} \\ \\8x+2+10=8x+12 < 5x-30 \\ \\\text{*** subtract 5x ***} \\\\8x+12-5x=3x + 12 < -30 \\ \\\text{*** subtract 12 ***}\\ \\3x+12-12=3x<-30-12 \\ \\3x < -42 \\ \\\text{*** divide by 3, it does not change the inequality ***}\\ \\ x < -42/3=-14$

I did not find a good way to show you here the number line. You need to basically take all numbers which are at the left of -14 on that line.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer 2

Answer:

$x < - 14$

$\frac{1}{5} (4x + 1) + 1 < \frac{1}{2} (x - 6)$

$\frac{4}{5} x + \frac{1}{5} < \frac{1}{2} x - 3$

$8x + 2 + 10 < 5x - 30$

$8x + 12 < + 5x - 30$

$8x - 5x < - 30 - 12$

$3x < - 42$

$\frac{3}{3} x < \frac{ - 42}{3}$

$x < - 14$