Question

1. Which number is a solution for the inequality?

G>6.4

A 7
B 6
C 6.7
D -7


Which number is the solution to the inequality?

X+4<7

A 2
B 3
C 4
D 5



Which number is the solution to the inequality?

12 < y(8-y)

A 0
B 1
C 2
D 3

Answer 1

The solution to each inequality is found by comparing numbers or performing simple algebra. For G > 6.4, the solution is 7; for X + 4 < 7, the solution is 2; and for 12 < y(8-y), the solution is 3.

Step-by-step explanation:

Let's address each inequality one by one:

G > 6.4: We need to choose the number that is greater than 6.4. Among the options, both A (7) and C (6.7) meet this criterion. However, since only one answer is expected, we select the first option presented in the choices, which is 7.

X + 4 < 7: To find the value of X, we need to subtract 4 from both sides of the inequality, resulting in X < 3. Among the given options, A (2) is the only number less than 3.

12 < y(8-y): This inequality is a bit more complex. To find values of y that satisfy the inequality, we would usually need to solve a quadratic equation. However, since we are provided with options, we can check which value, when substituted in the equation, gives a valid inequality. Substituting D (3) for y gives 12 < 3(8 - 3) = 12 < 3(5) = 12 < 15, which is true. Therefore, the answer is 3.

The corresponding answers to each problem are: 7, 2, and 3.

Answer 2

1. A 7

C 6.7

2. A 2

3. D 3

Step-by-step explanation:

G>6.4

so all the values of G which are strictly greater than 6.4 will be a solution

So, correct option is:

A 7

C 6.7

X+4<7

subtracting both sides by 4, we get

X< 3

All the values of X strictly less than 3 will be a solution

So, correct option is:

A 2

12 < y(8-y)

A 0

Putting y=0

12<0

so, this option is incorrect

B 1

Putting y=1

12<7

so, this option is incorrect

C 2

Putting y=2

12<12

so, this option is incorrect

D 3

Putting y=3

12<15

so, this option is correct