Drag the tiles to the correct boxes to complete the pairs. match each inequality to the number line that represents its solution. x – 99 ≤ -104 x – 51 ≤ -43 150 + x ≤ 144 75 < 69 – x

The four answers in the attached figure

Step-by-step explanation:

Part 1) we have

Solve for x

Adds 99 both sides

The solution is the interval ----> (-∞, -5]

All real numbers less than or equal to -5

In a number line, the shaded area at  left of x=-5 (close circle)

Part 2) we have

Solve for x

Adds 51 both sides

The solution is the interval ----> (-∞, 8]

All real numbers less than or equal to 8

In a number line, the shaded area at  left of x=8 (close circle)

Part 3) we have

Solve for x

Subtract  150 both sides

The solution is the interval ----> (-∞, -6]

All real numbers less than or equal to -6

In a number line, the shaded area at  left of x=-6 (close circle)

Part 4) we have

Solve for x

Subtract 69 both sides

Multiply by -1 both sides

Rewrite

The solution is the interval ----> (-∞, -6)

All real numbers less than -6

In a number line, the shaded area at  left of x=-6 (open circle)

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."