Question

5 is no greater than 4 times a number x minus 2.5

Answer 1

Answer : The expression for the given statement is $5\leq 4x-2.5$

Step-by-step explanation :

We are given a statement:

5 is no greater than 4 times a number x minus 2.5

'no greater than' in the above statement means $\leq$.

'minus' in the above statement means subtraction operation.

'times' in the above statement means multiplication operation.

Thus, the expression for the given statement is $5\leq 4x-2.5$

The value of 'x' will be,

$5\leq 4x-2.5\\\\\5+2.5\leq 4x\\\\7.5\leq 4x\\\\x\geq 1.875$

Answer 2

We want to write the given statement as an inequality, and then solve it.

The inequality is: 5 ≤ 4*x - 2.5

The solution is: 1.875 ≤ x

The given statement is:

"5 is not greater than 4 times a number x minus 2.5"

The "5 is not greater than..." is written as:

5 ≤

So 5 is smaller than or equal to the thing at the right.

The complete inequality will be:

5 ≤ 4*x - 2.5

Now to solve this, we start by adding 2.5 in both sides:

5 + 2.5 ≤ 4*x

7.5 ≤ 4*x

Now dividing both sides by 4 we get:

7.5/4 ≤ x

1.875 ≤ x

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