Solve the inequality and sketch the solution on the real number line.

1.3/4>x+1>1/4

2. 3[4-5x] less than or equal to 9

1.3/4>x+1>1/4

2. 3[4-5x] less than or equal to 9

cortejosni
2022-08-05
Answered

1.3/4>x+1>1/4

2. 3[4-5x] less than or equal to 9

You can still ask an expert for help

tangouwn

Answered 2022-08-06
Author has **13** answers

$\frac{3}{4}>x+1>\frac{1}{4}$

subtract one from all parts

$\frac{3}{4}-1>x>\frac{1}{4}-1$

now, solve the above statement

$-\frac{1}{4}>x>-\frac{3}{4}$

this would be the answer

you would not include either of the two points in your graph,because it is not "equal to" but you would include every pointbetween these points

$3(4-5x)\le 9$

you would divide by three (to free up the enclosed 4-5x)

$4-5x\le 27$

subtract four fromtwenty seven

$-5x\le 23$

divide by negative five, which reverses the sign and the direction of the inequality

$x\ge -\frac{23}{5}$

this graph will include the point -23/5, and every point greater than that

subtract one from all parts

$\frac{3}{4}-1>x>\frac{1}{4}-1$

now, solve the above statement

$-\frac{1}{4}>x>-\frac{3}{4}$

this would be the answer

you would not include either of the two points in your graph,because it is not "equal to" but you would include every pointbetween these points

$3(4-5x)\le 9$

you would divide by three (to free up the enclosed 4-5x)

$4-5x\le 27$

subtract four fromtwenty seven

$-5x\le 23$

divide by negative five, which reverses the sign and the direction of the inequality

$x\ge -\frac{23}{5}$

this graph will include the point -23/5, and every point greater than that

traquealwm

Answered 2022-08-07
Author has **4** answers

$3(4-5x)\le 9$

you would divide by three (to free up the enclosed 4-5x)

$4-5x\le 27$

subtract four from twenty seven

$-5x\le 23$

divide by negative five, which reverses the sign and thedirection of the inequality

$x\ge -\frac{23}{5}$

this graph will include the point -23/5, and every point greater than that

you would divide by three (to free up the enclosed 4-5x)

$4-5x\le 27$

subtract four from twenty seven

$-5x\le 23$

divide by negative five, which reverses the sign and thedirection of the inequality

$x\ge -\frac{23}{5}$

this graph will include the point -23/5, and every point greater than that

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Please leave all numbers in radical form, do no convert todecimal!

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Please leave all numbers in radical form, do no convert todecimal!

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