Question

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

The highest score that is on record on a video game is 10,219 points. The lowest score on record is 257 points. Which of the following inequalities best shows the range of scores recorded on the game?

F$\mathit{x}\mathbf{\le }\mathbf{10}\mathbf{,}\mathbf{219}$

G$\mathit{x}\mathbf{\ge }\mathbf{257}$

H$\mathbf{257}\mathbf{<}\mathit{x}\mathbf{<}\mathbf{10}\mathbf{,}\mathbf{219}$

J$\mathbf{257}\mathbf{\le }\mathit{x}\mathbf{\le }\mathbf{10}\mathbf{,}\mathbf{219}$

Short answer

The inequality that best shows the range of scores recorded on the game is $\mathbf{257}\mathbf{\le }\mathit{x}\mathbf{\le }\mathbf{10}\mathbf{,}\mathbf{219}$. Therefore, the option Jis correct.

Step-by-step solution

Step 1. Write the inequality for the given problem.

It is given that the highest score is 10,219 points and the lowest score is 257 points.

Let$x$ be the score recorded on the game.

As, the highest score is 10,219 points. Therefore, the score recorded on the game must be less than or equal to 10,219.

Therefore,$x\le 10,219$

As, the lowest score is 257 points. Therefore, the score recorded on the game must be greater than or equal to 257.

Therefore,$x\ge 257$

Therefore, the inequality for the given problem is:

$x\ge 257$and$x\le 10,219$

Step 2. Find the inequality that best shows the range of scores recorded on the game.

The inequality for the given problem is:

$x\ge 257$and $x\le 10,219$

Therefore, the inequalities $x\ge 257$and $x\le 10,219$can be written as:

$257\le x\le 10,219$

Therefore,the inequality that best shows the range of scores recorded on the game is $257\le x\le 10,219$. Therefore, the option Jis correct.