Solve for x and graph the solution on the number line below.
2 answers:
The solution to the system of inequality expression is 1 < x < 10
Inequality expressions are expressions not separated by an equal sign
Given the inequality expressions
- 4x – 2 < -6 and - 4x – 2 > -42
For the inequality - 4x – 2 < -6
- 4x – 2 + 2 < -6 + 2
-4x < -4
x > 1
For the inequality - 4x – 2 > -42
- 4x – 2 + 2> -42 +2
-4x > -40
x < 10
Combining both inequality solutions:
1 < x < 10
Hence the solution to the system of inequality expression is 1 < x < 10
Representing on the number line we have:
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The general solution of the pair of equations:
- 4x – 2 < -6 and - 4x – 2 > -42 is; 1 < x > 10
By solving the first inequality;
- -4x - 2 < -6
- -4x < -4
By dividing both sides by -4, we have;
x > 1
Subsequently, by solving the second inequality;
- - 4x – 2 > -42
- -4x > -40
By dividing both sides by -4, we have;
x < 10
Therefore, the inequality that satisfies both equations is;
1 < x > 10
The image attached contains the solution on the number line.
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