Question

Solve the following inequality, 8 < 2(7-g), representing the solution on a number line.

Answer 1

g < 3

Explanation:

8 < 2(7 - g)

8< 14 - g

-6 < -g

g < 3

On a number line, because there is no equal, so this will be an open circle to the left of 3.

Answer 2

To solve the inequality 8 < 2(7-g), we first need to simplify the right side of the inequality.

2(7-g) = 2 * 7 - 2 * g = 14 - 2g

Now we can compare the left and right sides of the inequality:

8 < 14 - 2g

To isolate g, we'll add 2g to both sides:

8 + 2g < 14

2g < 6

To divide by 2, we'll divide both sides by 2:

g < 3

So the solution to the inequality is g < 3, which can be represented on a number line as:

(negative infinity, 3)

So the values of g that satisfy the inequality are any real number less than 3.

Explanation: