Answer:
x < 7
Explanation:
1) Expand the brackets
The only brackets in the question is 2(4x-3). To expand it we have to multiply everything outside the bracket by everything inside the bracket
- 2 × 4x = 8x
- 2 × -3 = -6
- 8x - 6
2) Get rid of the smallest value of x
To get rid of the smallest value of x all we need to do it subtract it!
The smallest value of x in 8x - 6 < 5x - 27 is 5x
- 8x - 6 - 5x = 3x - 6
- 5x - 27 - 5x = -27
- 3x - 6 < -27
2) Get rid of -6
To start to isolate the x we need to get rid of the -6. To get rid of a minus we need to add so to get rid of -6 we need to add 6 on both sides
- 3x - 6 + 6 = 3x
- -27 + 6 = -21
- 3x < -21
3) Solve the inequality
The final we need to do to get the value of x is to get rid of 3. To do this we need to divide both sides by three. Yet again this is because in the question it is multiplying so to get rid of it we need to do the inverse and divide
- 3x ÷ 3 = x
- -21 ÷ 3 = -7
- x < 7
Hope this helps, have a great day!!