Question

Choose the missing step in the given solution to the inequality -2x - 14 > -4 + 3x

Answer 1

-5x > 10 is the missing step.

-2x - 14 > -4 + 3x --- subtract 3x from both sides
-5x - 14 > -4 --- add 14 to both sides
-5x > 10 -- divide by -5 and change the sign
x < -2

Answer 2

Which of the following is not a way to represent the solution of the inequality 5(x + 2) greater than or greater 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 greater to 3

Answer 3

thank you so much btw for the help with the first :)

Answer 4

5(x + 2) >= 7x + 2(x - 1) --- distribute through the parenthesis
5x + 10 >= 7x + 2x - 2 -- combine like terms
5x + 10 >= 9x - 2 -- subtract 9x from both sides
-4x + 10 >= -2 --- subtract 10 from both sides
-4x >= -12 -- divide by -4 and change the sign
x <= 3 or 3 >= x

if there is an equal sign, it has a closed circle, and since x is less then, shading goes to the left

1st answer choice is incorrect

Answer 5

so I choose the first thanks :D @texaschic101