Solve
5x+16 greater than 1 and 2x-21 greater than -17.
5x + 16 > 1
Subtract 16 from both sides.
5x > -15
Divide both sides by 5. (You solve just like an equation, except If you multiply/divide by a negative value, then you have to reverse the carat.)
x > -3
Use the same principles to solve the second inequality.
15=547=2585=148=5+96+65+65589258963.1407
To solve the inequalities 5x+16>1 and 2x-21>-17, we will solve each inequality separately and then find the values of x that satisfy both inequalities.
Let's start with the first inequality:
5x + 16 > 1
To isolate x, we will subtract 16 from both sides:
5x > 1 - 16
5x > -15
Next, divide both sides of the inequality by 5 to solve for x:
x > -15/5
x > -3
So, the solution to the first inequality is x > -3.
Now let's move on to the second inequality:
2x - 21 > -17
To isolate x, we will add 21 to both sides:
2x > -17 + 21
2x > 4
Next, divide both sides of the inequality by 2 to solve for x:
x > 4/2
x > 2
So, the solution to the second inequality is x > 2.
To find the values of x that satisfy both inequalities, we take the intersection of the two solutions. In this case, we need values of x that are greater than -3 and greater than 2. Therefore, the final solution is x > 2.
In interval notation, the solution to the given inequalities is (2, ∞).