Question

What is the solution set for −4x−5<31 ?(1 point)

Responses

x<−9
x<−9

x>−9
x is greater than negative 9

x>9
x is greater than 9

x<9

Answer 1

[AI-generated answer — Bot GPT 3.5]

x<9

Answer 2

Solve for x in the inequality.

−1.7x≥5.95

(1 point)
Responses

x≤−3.5
x is less than or equal to negative 3 point 5

x≤3.5
x is less than or equal to 3 point 5

x≥3.5
x is greater than or equal to 3 point 5

x≥−3.5

Answer 3

[AI-generated answer — Bot GPT 3.5]

x≥−3.5

Answer 4

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)

Answer 5

[AI-generated answer — Bot GPT 3.5]

Let x be the number of weeks Jake can continue giving away marbles.

The number of marbles Jake will have left after x weeks is given by 1,000 - 100x.

We want this number to be greater than or equal to 500:

1,000 - 100x ≥ 500

Simplifying the inequality:

-100x ≥ -500

Dividing both sides by -100 flips the inequality sign:

x ≤ 5

So Jake can continue giving away marbles for a maximum of 5 weeks.

Answer 6

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≥5
1000−100w≥500; w≥5

1000−100w≥500; w≤5
1000−100w≥500; w≤5

1000−100w≤500; w≥6
1000−100w≤500; w≥6

1000+100w≥500; w≥6

Answer 7

[AI-generated answer — Bot GPT 3.5]

1000 - 100w ≥ 500; w ≤ 5

Answer 8

Mark runs a stall selling handmade cards and bookmarks.

Each handmade card costs $20.00.
Each bookmark costs $2.50.
Mark wants his total sales to reach a minimum of $90.00 through the sale of at least one handmade card and several bookmarks. What inequality represents the various quantities of bookmarks (x) Mark must sell?

Answer 9

[AI-generated answer — Bot GPT 3.5]

Let x be the number of bookmarks Mark must sell.

The cost of selling x bookmarks is given by 2.50x.

The cost of selling at least one handmade card is $20.

The total sales must reach a minimum of $90, so we have the inequality:

2.50x + 20 ≥ 90

Simplifying the inequality:

2.50x ≥ 70

Dividing both sides by 2.50:

x ≥ 28

Therefore, the inequality representing the quantity of bookmarks Mark must sell is x ≥ 28.

Answer 10

Sophie is eyeing a new bicycle that costs $1,200. She earns $160 per week from her part-time job. Currently, she has saved up $400. What inequality represents the minimum number of weeks (w) Sophie needs to work to afford the bicycle?(1 point)

Responses

400w+160w≥1200
400 w plus 160 w is greater than or equal to 1200

400+160w≥1200
400 plus 160 w is greater than or equal to 1200

400w+160w≤1200
400 w plus 160 w is less than or equal to 1200

400+160w≤1200

Answer 11

[AI-generated answer — Bot GPT 3.5]

400 + 160w ≥ 1200