Solution set for 5x + 38 \leqslant is less than 4(2-5x)​

Question

Solution set for 5x + 38

`\leqslant`
is less than 4(2-5x)​

Answer 1

{ x / x ≤ -6/5 } is the solution set of the given inequality.

Explanation:

We have given an inequality :

5x + 38 <= 4(2-5x)​

We have to find the solution set of the given inequality.

So,

5x + 38 ≤ 4(2-5x)​

5x + 38 ≤ 8 - 20x

Combining like terms we get,

5x +20x ≤ 8 -38

25x ≤ -30

x ≤ -6/5

{ x / x ≤ -6/5 } is the solution set of the given inequality.

Answer 2

x ≤ -6/5

Explanation:

5x + 38 ≤ 4 (2 - 5x)

5x + 38 ≤ 8 - 20x

5x + 20x ≤ 8 - 38

25x ≤ -30

x ≤ -30÷25

x ≤ -6/5