Kelsey is solving the inequality 17+4x< 9. to solve the inequality, she begins by solving the equation as shown. which number line represents the solution to the inequality?

The solution in the attached figure

Step-by-step explanation:

we have

Subtract 17 both sides

Divide by 4 both sides

The solution is the interval (-∞,-2)

All real numbers less than -2

In a number line the solution is the shaded area to the left at number -2 (open circle)

see the attached figure

As per questions,

(3m+7)(9m²- 21m+49)

Expanding to a³±b³ formula,

→ 3m³ + 7³

→ 3³×m³ + 7³

→ 27m³ + 343

(x²-2x)(x⁴-2x³+4x²)

→ x²(x⁴-2x³+4x²)-2x(x⁴-2x³+4x²)

→ x²x⁴-2x²x³+4x²x²-2x×x⁴+2x×2x³-8x×x²

→ x⁶-2x⁵+4x⁴-2x⁵+4x⁴-8x³

(2y²-7y)(4y⁴+ 14y³+49y²)

→ 2y²×4y⁴ + 2y²×14y³ + 2y²×49y² -7y×14y³ -7y×49y²

→ 8y⁶+28y⁵+98y⁴-28y⁵-98y⁴

As

→ 8y⁶-343y³