The inequality is 4x - 6 < - 2 and solution for number is x < 1, where "x" is the variable
Solution:
Given that four times a number decreased by 6 is less than -2
To find: Define a variable, write an inequality, and solve for the number
Let "x" be the required number
From given information,
four times a number decreased by 6 < -2
four times "x" decreased by 6 < - 2
Here "times" represents multiplication. Four times x means 4 is multiplied by x
Decreased means something is subtracted away
Here 6 is subtracted from four times "x"
So we frame a inequality as:
4x - 6 < - 2
Moving -6 from R.H.S to L.H.S,
4x < -2 + 6
4x < 4
Dividing both sides by 4,
x < 1
Thus the inequality is 4x - 6 < - 2 and solution for number is x < 1