Question

five less than a number is at least 40. write and solve an inequality to find the minimum value of the number​

Answer 1

The inequality that represents 'five less than a number is at least 40' is x - 5 ≥ 40. To solve this, we add 5 to both sides, resulting in x ≥ 45. This means the minimum value of the number is 45.

Step-by-step explanation:

To express the statement five less than a number is at least 40 as an inequality, let's designate the unknown number as x. The phrase five less than a number translates to x - 5, and at least 40 means the value is 40 or greater, which we write as ≥ 40. Combining these, the inequality is x - 5 ≥ 40.

Now, we solve the inequality step by step:

Add 5 to both sides: x - 5 + 5 ≥ 40 + 5

Simplify both sides: x ≥ 45

The minimum value of x is 45; therefore, any number that is 45 or greater satisfies the inequality.

Answer 2

45

Step-by-step explanation:

5 less than your number is at least 40. Let the number be x. So rephrasing the statement, 5 less than x is greater than or equals 40.

x-5 ≥ 40

x-5+ 5 ≥ 40+5 (adding 5 to both sides to single out the x in LHS)

∴x ≥ 45

In other words, x is at least 45.

Therefore, the minimum value of x is 45.