Question

What is the interval solution to 0.35 x -4.8 ∠ 5.2 -0.9x?

A). (-∞, -8)
B). (-∞, 8)
C). (-8, ∞)
D). (8, ∞)

Answer 1

To find the interval solution to the equation
`\displaystyle\sf 0.35x-4.8\leq 5.2-0.9x`, we need to solve for x.

First, let's simplify the equation:

`\displaystyle\sf 0.35x+0.9x\leq 5.2+4.8`,

`\displaystyle\sf 1.25x\leq 10`.

Next, we isolate x by dividing both sides of the inequality by 1.25:

`\displaystyle\sf x\leq (10)/(1.25)`,

`\displaystyle\sf x\leq 8`.

Therefore, the interval solution to the equation is
`\displaystyle\sf (-\infty, 8)`, which corresponds to option B). (-∞, 8)