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IgorC [24]
2 years ago
9

7 x-3(4 x-8)<6 x+12-9 x

Mathematics
1 answer:
kari74 [83]2 years ago
6 0

Answer:

x > 6

Step-by-step explanation:

1.) Distribute - 3 through the parenthesis

7x-3(4x-8)<6x+12-9x

7x-12x+24<6x+12-9x

2.) Then collect like terms

7x-12x+24<6x+12-9x

7x-12x+24<-3x+12

7x-12x+24<-3x+12

-5x+24<-3x+12

3.) Move the <u>variable</u> to the left and change the sign

-5x+24<-3x+12

-5x+3x+24<12

4.) Move the <u>constant</u> to the right and change it's sign

-5x+3x+24<12

-5x+3x<12-24

5.) Collect like terms

-5x+3x<12-24

-2x<12-24

6.) Calculate the difference

-2x<-12

7.) Divide both sides by -2 and flip the inequality sign

-2x<-12

x>6

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Leona [35]

Given:

The inequality is:

y>5x+3

To find:

The y-intercept, slope and type of line (solid or dotted).

Solution:

The slope intercept form of a line is:

y=mx+b            ...(i)

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4 0
3 years ago
Read 2 more answers
What is the solution x+2y=7 and x-2y=-1
erica [24]

\underline{+\left\{\begin{array}{ccc}x+2y=7\\x-2y=-1\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad\qquad2x=6\qquad\text{divide both sides by 2}\\.\qquad\qquad \boxed{x=3}\\\\\text{Put the value of x to the first equation}\\\\3+2y=7\qquad\text{subtract 3 from both sides}\\\\2y=4\qquad\text{divide both sides by 2}\\\\\boxed{y=2}\\\\Answer:\ \boxed{x=3\ and\ y=2\to(3,\ 2)}

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3 years ago
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