Question

Which of the following graph represents the solution set for 5x+38 ≤ 4(2-5x)

Answer 1

Answer:

Option C

Step-by-step explanation:

Given inequality is,

5x + 38 ≤ 4(2 - 5x)

5x + 38 ≤ 8 - 20x [Distributive property]

5x + 20x + 38 ≤ 8 - 20x + 20x [By adding 20x on both the sides of the inequality]

25x + 38 ≤ 8

(25x + 38) - 38 ≤ 8 - 38 [By subtracting 38 on both the sides of the inequality]

25x ≤ -30

$\frac{25x}{25}\leq -\frac{30}{25}$ [Dividing by 25 on both the sides of the inequality]

x ≤ 1.2

Therefore, Option (C) will be the correct graph.