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Solve the inequality $-7 < 5x − 2 "; Represent the solution on a real number line.
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Step-by-step solution
2 stepsHere's the solution for the inequality:
:
Part a· 2 steps
Solve the inequality .
Add 2 to all three parts of the inequality to isolate the term with .
Divide all three parts by 5 to solve for .
The solution is .
Part b
Represent the solution of (a) on a real number line.
To represent on a real number line, draw a number line. Place an open circle at (because is strictly greater than ). Place a closed circle (or a filled dot) at 1 (because is less than or equal to 1). Draw a line segment connecting these two circles, indicating that all numbers between and 1 (including 1 but not ) are part of the solution.
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