3 times x plus 4 is greater than or equal to 4 times the sum of x and 1. (Hint: 4 times the sum means you should write a distributive property problem)

Question

asked Dec 1, 2021 44.3k views

1 Answer

MariusR · Answer 1 · 2021-12-06T09:15:20+0000

Given:

3 times x plus 4 is greater than or equal to 4 times the sum of x and 1.

To find:

The inequality for the given statement and solution of the inequality.

Solution:

4 times the sum means a distributive property problem.

Now,

3 times x : 3x

3 times x plus 4 : 3x+4

Greater than or equal to : ≥

4 times the sum of x and 1 : 4(x+1)

So, the inequality is

$3x+4\geq 4(x+1)$

Using distributive property, we get

$3x+4\geq 4x+4$

Isolate variable terms.

$4-4\geq 4x+3x$

$0\geq x$

It can be written as

$x\leq 0$

Therefore, the required inequality is
$3x+4\geq 4(x+1)$ and the solution is
$x\leq 0$ .