Which of the following is not a way to represent the solution of the inequality 3(2x − 1) greater than or equal to 4(2x − 3) − 3? (1 point) a) x less than or equal to 6 b) 6 greater than or equal to x c) a number line with a closed circle on 6 and shading to the left d)a number line with a closed circle on 6 and shading to the right

Option D). is the option.

Step-by-step explanation:

The given inequality is 3(2x - 1) ≥ 4(2x - 3) - 3

Now we will solve the inequality to get the answer.

3(2x -1) ≥ 4(2x - 3) - 3

6x - 3 ≥ 8x - 12 - 3 (distribution law)

6x -3 + 3 ≥ 8x - 12 - 3 + 3

6x ≥ 8x - 12

By adding 12 on both the sides

6x + 12 ≥ 8x -12 + 12

Now we will subtract 6x from both the sides

6x - 6x + 12 ≥ 8x -6x

12 ≥ 2x

2x/2 ≤ 12/2

x ≤ 6

So option D) A number line with a closed circle on 6 and shading to the right is incorrect. Rest all options are correct.

b and c

step-by-step explanation:

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.