Question

Which graph shows the solution to the inequality -3x-7 <20?

-10
←++
-10
-10
←++
-10
-5
-5
-5
-5
0
0
0
0
5
5
5
5
10
10
10
10

Answer 1

x > 9

Explanation:

Hello!

First let's solve the inequality for x.

Flip the sign if you are dividing by a negative number.

Solve for x

• 
  `-3x - 7 < 20`
• 
  `-3x < 27`
• 
  `x > 9`

Now let's graph it on a number line. If it is a greater or less than symbol, we use an open circle. If it is a greater than or equal to or a less than or equal to, we use a closed circle.

Plot the point of 9 with an open circle, and shade in a line towards the right (all values greater than 9).