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)?

Answer 1

@campbell_st

Answer 2

A. Number line with a closed circle on 3 and shading to the right
B. A number lines I a closed circle on 3 and shading to the left
C. 3 greater than or equal fox.
D. X less than or greater to 3

Answer 3

is it b??

Answer 4

well start by solving the inequality

so the 1st step should be distributing and collecting like terms

\[5x + 10 \ge 9x - 2\]

subtract 9x from both sides and subtract 10 from both sides

\[-4x \ge -12\]

the last step... divide both sides by -4

but you need to think about what happens to the inequality when you divide by a negative...

hope it helps..

Answer 5

so is it b?

Answer 6

@campbell_st

Answer 7

nope... when you divide by a negative the inequality is reversed...

so its a closed circle... and the shading goes in the direction of the inequality

which means the shading goes left.

but for some reason the choices don't make a lot of sense...

be me...A is the wrong solution...