Answer :
In the inequality 2x - 7 > -15, adding 7 to both sides and dividing by 2 gives x > -4. On a number line, mark an open circle at -4 and draw an arrow to the right.
Let us express the solution using plain text:
Inequality: 2x - 7 > -15
The solution of the inequality is,
Add 7 to both sides: 2x - 7 + 7 > -15 + 7, which simplifies to 2x > -8.
Divide both sides by 2: (2x/2) > (-8/2), simplifying to x > -4.
So, the solution is x > -4.
Number Line Graph:
Draw a line.
Mark an open circle at -4 (because x is not equal to -4).
Draw an arrow to the right to indicate that x is greater than -4.
This visually represents the solution: all real numbers greater than -4 satisfy the inequality.
Therefore, the solution of the inequality is x > -4 .
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