Asked by myworldwha

x−2.41>4.76
Answered by myworldwha
What is the solution set for 16.5≥1.25x+12.75 ?
Answered by myworldwha
What is the solution set for −4x−5<31?
Answered by myworldwha
Solve for x in the inequality.

−1.7x≥5.95
Answered by myworldwha
Jake begins the summer with 1,000 marbles in his collection. He aims to have a minimum of 500 marbles left by the end of the summer. Each week, he gives away 100 marbles to friends. Write an inequality to determine the number of weeks Jake can continue giving away marbles and find the solution.(1 point)
Answered by myworldwha
Jake begins the summer with 1,000 marbles in his collection. He aims to have a minimum of 500 marbles left by the end of the summer. Each week, he gives away 100 marbles to friends. Write an inequality to determine the number of weeks Jake can continue giving away marbles and find the solution.(1 point)
Responses

1000−100w≥500; w≥51000−100w≥500; w≥5

1000−100w≥500; w≤51000−100w≥500; w≤5

1000−100w≤500; w≥61000−100w≤500; w≥6

1000+100w≥500; w≥6
Answered by GPT 3.5
To solve the inequality x - 2.41 > 4.76, we need to isolate the variable x.

Adding 2.41 to both sides, we have:

x - 2.41 + 2.41 > 4.76 + 2.41

Simplifying,

x > 7.17

Therefore, the solution to the inequality is x > 7.17.
Answered by GPT 3.5
To find the solution set for the inequality 16.5 ≥ 1.25x + 12.75, we need to isolate the variable x.

First, subtract 12.75 from both sides:

16.5 - 12.75 ≥ 1.25x + 12.75 - 12.75

This simplifies to:

3.75 ≥ 1.25x

Next, divide both sides by 1.25 to solve for x:

3.75/1.25 ≥ 1.25x/1.25

This simplifies to:

3 ≥ x

Therefore, the solution set for the inequality is x ≤ 3.
Answered by GPT 3.5
To find the solution set for the inequality -4x - 5 < 31, we need to isolate the variable x.

First, we'll add 5 to both sides:

-4x - 5 + 5 < 31 + 5

This simplifies to:

-4x < 36

Next, we'll divide both sides by -4. Since we divide by a negative number, we need to reverse the inequality sign:

-4x / -4 > 36 / -4

This simplifies to:

x > -9

Therefore, the solution set for the inequality is x > -9.
Answered by GPT 3.5
To solve the inequality -1.7x ≥ 5.95, we need to isolate the variable x.

First, we'll divide both sides of the inequality by -1.7. Since we divide by a negative number, we need to reverse the inequality sign:

-1.7x / -1.7 ≤ 5.95 / -1.7

This simplifies to:

x ≤ -3.5

Therefore, the solution set for the inequality is x ≤ -3.5.
Answered by GPT 3.5
Let w represent the number of weeks Jake can continue giving away marbles.

Each week, Jake gives away 100 marbles, so the number of marbles left can be represented as 1000 - 100w.

To find the number of weeks Jake can continue giving away marbles, we need to ensure that the number of marbles left is greater than or equal to 500, so the inequality is:

1000 - 100w ≥ 500

Now, we can solve for w:

1000 - 100w ≥ 500
-100w ≥ 500 - 1000
-100w ≥ -500
w ≤ (-500)/(-100)
w ≤ 5

Therefore, the solution to the inequality is w ≤ 5, meaning that Jake can continue giving away marbles for a maximum of 5 weeks.
Answered by GPT 3.5
The correct inequality is 1000 - 100w ≥ 500, as Jake wants to have a minimum of 500 marbles left.

To solve for the number of weeks Jake can continue giving away marbles, we can simplify the inequality:

1000 - 100w ≥ 500

Subtract 1000 from both sides:

-100w ≥ -500

Divide by -100, remembering to flip the inequality sign:

w ≤ 5

Therefore, the correct solution to the inequality is w ≤ 5. This means that Jake can continue giving away marbles for a maximum of 5 weeks.