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soldier1979 [14.2K]
3 years ago
15

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

Mathematics
1 answer:
Strike441 [17]3 years ago
3 0

The inequality is 4x - 6 < - 2 and solution for number is x < 1, where "x" is the variable

<em><u>Solution:</u></em>

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"

<em><u>So we frame a inequality as:</u></em>

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

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