Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?

x<2

Step-by-step explanation:

2.5 – 1.2x < 6.5 – 3.2x

Sovle the inequality for x

2.5 – 1.2x < 6.5 – 3.2x

Add 3.2x on both sides

2.5 +2x < 6.5 – 3.2x

Subtract 2.5 from both sides

2x< 4

divide by 2 on both siddes

x<2

now make a number line

for < symbol we use open circle and we shaded left

So draw a open circle at 2 and shade to the left of 2

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form