Question

Which of the following is not a way to represent the solution of the inequality 5(x + 2) greater than or equal to 7x + 2(x − 1)?

A number line with a closed circle on 3 and shading to the right

A number line with a closed circle on 3 and shading to the left

3 greater than or equal to x

x less than or equal to 3

Answer 1

A number line with a closed circle on 3 and shading to the left is not a way to represent the solution

Answer 2

5(x+2) >= 7x + 2(x-1) if we simplify by distributing the 5 and two to their corresponding parenthesis we get
5x + 10 >= 7x + 2x -2 We can now add the 7x and 2x
5x + 10 >= 9x - 2 by subtracting 5x on both sides
10 >= 4x -2 adding 2 to both sides
12 >= 4x divide both sides by 4
3 >= x

Answer 3

3 >= x can be said 3 is greater than or equal to x and can also be said x is less than or equal to x. So those are not the answers

Answer 4

Remember that when we have a "equals to" there is a shaded circle and in this case we ave a shaded circle on 3. Just look at 3 >= x

Answer 5

since 3 is greater than or equal to x the number line will look like
<---------o==========> where o is a shaded circle and === is shaded to the right
3
this means that A number line with a closed circle on 3 and shading to the right is there

Answer 6

solve for x

Answer 7

@tkhunny