1. what is the solution to the inequality? - 2/3(2x - 1/2) ≤ 1/5 x-1 express your answer in interval notation.

we are given

Since, we have to solve this inequality

so, we will isolate x on anyone side

step-1:

Multiply both sides by 3/2

step-2:

Distribute negative sign

step-3:

Subtract both sides by 1/2

step-4:

Subtract both sides by (3/10)x

step-5:

Multiply by sides by -10/23

now, we can simplify it

now, we can write in interval notation as

................Answer

this is a very good question

step-by-step explanation:

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option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.