Solve the following inequality. then place the correct number in the box provided. 3x + 5 < 6x -1

  x > 2

Step-by-step explanation:

Add 1-3x to both sides of the inequality:

  3x +5 +1 -3x < 6x -1 +1 -3x

  6 < 3x . . . . . . simplify

  2 < x . . . . . . . divide both sides by 3

_____

In the attached graph, the left and right sides of the inequality are separately graphed. The shaded green area is solution to the inequality: 2 < x.

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )