What is the solution set of 2x−3=5 and 5x+3>−12?
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The solution to 2x-3=5 is x=4.
The solution to 5x+3>-12 is x>-3.
Therefore, the solution set is {x | x>4}.
To find the solution set for the equation 2x - 3 = 5, we need to isolate the variable x.
1. Start with the equation: 2x - 3 = 5
2. Add 3 to both sides of the equation: 2x = 8
3. Divide both sides of the equation by 2: x = 4
So the solution for the equation 2x - 3 = 5 is x = 4.
Now let's solve the inequality 5x + 3 > -12.
1. Start with the inequality: 5x + 3 > -12
2. Subtract 3 from both sides of the inequality: 5x > -15
3. Divide both sides of the inequality by 5 (remember to flip the inequality sign when dividing by a negative number): x > -3
So the solution for the inequality 5x + 3 > -12 is x > -3.
Therefore, the solution set for the equations 2x - 3 = 5 and 5x + 3 > -12 (combined) is {x | x = 4 and x > -3}.