Question

Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Select three options. 1 ≥ 2x 6x ≥ 3 + 8x – 4 A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left. A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the right. A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the right.

Answer 1

Option 1,2, and 4 is correct.

Explanation:

Given : Inequality
`6x \geq 3 + 4(2x - 1)`

To find : Which are correct representations of the inequality?

Solution :

Inequality
`6x \geq 3 + 4(2x - 1)`

Solve the bracket,

`6x \geq 3 +8x -4`

Option 2 is correct.

`6x \geq 8x -1`

`1\geq 8x -6x`

`1\geq 2x`

Option 1 is correct.

`(1)/(2)\geq x`

`x\leq (1)/(2)`

`x\leq 0.5`

A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.

Option 4 is correct.

Therefore, Option 1,2, and 4 is correct.