Question

QUESTIONS IN Picture TYSM Guys

Answer 1

Option E:

The value of m that makes the inequality true is 5.

Solution:

Given inequality is 3m + 10 < 30.

Let us first simplify the expression.

3m + 10 < 30

Subtract 10 from both side of the equation.

3m < 20 – – – – (1)

To find the value of m that makes the inequality true:

Option A: 20

Substitute m = 20 in (1),

⇒ 3(20) < 20

⇒ 60 < 20

It is not true because 60 is greater than 20.

Option B: 30

Substitute m = 30 in (1),

⇒ 3(30) < 20

⇒ 90 < 20

It is not true because 90 is greater than 20.

Option C: 8

Substitute m = 8 in (1),

⇒ 3(8) < 20

⇒ 24 < 20

It is not true because 24 is greater than 20.

Option D: 10

Substitute m = 10 in (1),

⇒ 3(30) < 20

⇒ 90 < 20

It is not true because 90 is greater than 20.

Option E: 5

Substitute m = 5 in (1),

⇒ 3(5) < 20

⇒ 15 < 20

It is true because 15 is less than 20.

Hence the value of m that makes the inequality true is 5.

Option E is the correct answer.