Mathematics: Solve the inequality and show your solution on a number line: 0.2x−2 7−8x

rise/runStep-by-step explanation:...

Solve the inequality and show your solution on

Learsyguerra26

30.12.2021

$x< \frac{45}{41}$ or x< 1.098

The graph in the attached figure

Step-by-step explanation:

we have

0.2x-2 < 7-8x

Solve for x

Adds 2 both sides

0.2x-2+2 < 7-8x+2

0.2x < 9-8x

Adds 8x both sides

0.2x+8x < 9-8x+8x

8.2x < 9

Divide by 8.2 both sides

x < 9/8.2

Remember that

8.2=82/10

substitute

x < 9/(82/10)

$x< \frac{90}{82}$

Simplify

$x< \frac{45}{41}$ or x< 1.098

The solution is the interval ------> (-∞, 45/41)

All real numbers less than 45/41

In a number line , the solution is the shaded area at left of x=45/41 (open circle)

The graph in the attached figure

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