Question

four times a number decreased by 6 is less than -2. Define a variable, write an inequality, and solve for the number​

Answer 1

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