Question

Which graph shows the solution to this inequality? 3r + 2(12r + 7) ≤ 5r – 8

Answer 1

3r+24r+14<-5r-8
22r<-(-22)
r<-1

Answer 2

To solve the inequality, we first simplify the left-hand side:

3r + 2(12r + 7) ≤ 5r – 8

3r + 24r + 14 ≤ 5r – 8 [Distribute the 2]

27r + 14 ≤ 5r – 8

27r ≤ -22r – 22 [Subtract 5r and 14 from both sides]

49r ≤ -22 [Add 22r and 22 to both sides]

r ≤ -22/49

The solution to the inequality is all the values of r less than or equal to -22/49.

This can be represented on a number line as a closed circle at -22/49 and shading to the left.

The graph of the solution is:

------•================================================>

       -22/49

The circle at -22/49 indicates that -22/49 is included in the solution, and the shading to the left indicates that all values of r to the left of -22/49 are also solutions to the inequality.

For similar question on Inequality.

https://brainly.in/question/51647059

#SPJ2