Step: 1

$1.23 = 123 cents.

[Converting dollars to cents]

Step: 2

Let x be the number of pages he can copy.

Step: 3

3x ≤ 123

[Original inequality.]

Step: 4

[Divide each side by 3.]

Step: 5

[Simplify.]

Correct Answer is : x ≤ 41

Step: 1

Let n be his score on the fourth test.

Step: 2

[Original inequality.]

Step: 3

[Simplify.]

Step: 4

[Subtract 75 from each side.]

Step: 5

[Simplify.]

Step: 6

Sam should get at least 28 in the fourth test.

Correct Answer is : at least 28

Step: 1

From the problem, the number of hours Sheela spends studying is more than or equal to 4.

[Atleast 4 implies that the number is more than or equal to 4.]

Step: 2

So, the inequality for the number of hours she spends studying is h ≥ 4.

[h is the number of hours Sheela spends studying.]

Step: 3

All the values that make the inequality true are solutions of the inequality.

Step: 4

Among the choices, 4 is a solution of the inequality.

[The number of hours can be equal to 4, but not less than 4.]

Correct Answer is : 4

Step: 1

The total number of pairs of shoes possessed by Gary and Tommy is more than 13.

Step: 2

The inequality for the total number of pairs of shoes possessed by Gary and Tommy is s > 13.

Step: 3

All the values that make the inequality true are solutions of the inequality.

Step: 4

Among the choices, 12 is not a solution of the inequality.

Correct Answer is : 12

Step: 1

Let m be the amount George had in his pocket before he went shopping.

Step: 2

Money in George's pocket before shopping - Money spent ≥ Money left over

Step: 3

[Original inequality.]

Step: 4

[Add 274 to each side.]

Step: 5

[Simplify.]

Step: 6

George had at least $358 before he went shopping.

Correct Answer is : At least $358

Step: 1

Let x be the cost of each dress.

Step: 2

As she can buy at most 3 dresses, the total cost of the 3 dresses is less than or equal to $186.

Step: 3

3x ≤ 186

[Write the inequality.]

Step: 4

[Divide by 3 on each side.]

Step: 5

[Simplify.]

Step: 6

The maximum cost of each dress is $62.

[As x ≤ 62, the maximum value of x is 62.]

Correct Answer is : $62

Step: 1

Let a be the present age of Nathan.

Step: 2

[Write an inequality.]

Step: 3

[Subtract 6 from each side.]

Step: 4

[Simplify.]

Step: 5

Nathan's present age is above 9 years.

Correct Answer is : Above 9 years

Step: 1

The sum of two numbers is more than 292.

[In words.]

Step: 2

Let x be the unknown number.

Step: 3

[Original Inequality.]

Step: 4

[Subtract 181 from each side.]

Step: 5

[Simplify.]

Step: 6

The other number is greater than 111.

Step: 7

Among the choices, the number greater than 111 is 117.

Step: 8

So, 117 is the other number.

Correct Answer is : 117

Step: 1

Let x be the cost of each burger.

Step: 2

9x ≤ 90

[Original inequality.]

Step: 3

[Divide by 9 on each side.]

Step: 4

[Simplify.]

Step: 5

The maximum cost of each burger is $10.

Correct Answer is : $10

Step: 1

The total score in the two tests should at least be 150.

Step: 2

Let m be the score obtained by Victor in the second test.

Step: 3

80 + m ≥ 150

[Original inequality.]

Step: 4

80 + m - 80 ≥ 150 - 80

[Subtract 80 from each side.]

Step: 5

[Simplify.]

Step: 6

Among the choices, the value which satisfies the inequality is 70.

Step: 7

So, Victor scored 70 in the second test.

Correct Answer is : 70

Step: 1

Let a be the amount in Edward's savings account.

Step: 2

[Write an inequality.]

Step: 3

[Add 1382.75 to each side.]

Step: 4

[Simplify.]

Step: 5

Edward should have atleast $1882.75 in his account.

Correct Answer is : $1882.75

Step: 1

Let x be the number.

Step: 2

[Original inequality.]

Step: 3

[Add 36 to each side.]

Step: 4

[Simplify.]

Step: 5

Among the choices, the number greater than 93 is 95.

Correct Answer is : 95

Step: 1

Let n be an integer which does not give more than 10 when it is divided by -6.

Step: 2

As the quotient of the division is not more than 10, the result can be any number less than or equal to 10.

Step: 3

[Wite the inequality.]

Step: 4

[Multiply by - 6 on each side and reverse the inequality symbol.]

Step: 5

[Simplify.]

Correct Answer is : n ≥ - 60

Step: 1

Let the number be n .

Step: 2

[Write the inequality.]

Step: 3

⇒ n ≥ 17

[Divide by 6 on both sides.]

Step: 4

So, for the values of n ≥ 17 the inequality is satisfied.

Correct Answer is : 17

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