Question

A golfer plays 5 rounds of gold with the following scores: 92, 88, 85, 90, and 89. What score would the need on his sixth round to have an average below 88? Write the answer to the inequality in interval notation if possible.

Answer 1

To have an average below 88 after six rounds, the golfer would need to score below 84 in the sixth round. In interval notation, this can be represented as (-∞, 84).

Answer 2

SEE BELOW ↓

Explanation:

To find the score the golfer needs on the sixth round to have an average below 88, we can set up an inequality.

Let's denote the score on the sixth round as "x."

The average score can be calculated by summing up all the scores and dividing by the number of rounds, which is 6 in this case.

The inequality for the average score is:

• (92 + 88 + 85 + 90 + 89 + x) / 6 < 88

Now, let's solve for x:

• (92 + 88 + 85 + 90 + 89 + x) / 6 < 88

Sum the scores on the left side of the inequality:

• (444 + x) / 6 < 88

Now, multiply both sides of the inequality by 6 to isolate x:

• 444 + x < 88 * 6

• 444 + x < 528

Subtract 444 from both sides:

• x < 528 - 444

• x < 84

So, the golfer would need to score less than 84 on his sixth round to have an average below 88.

___________________________________________________

➥ In interval notation, this would be written as:

• x < (negative infinity, 84)