Solve the following inequality. Yuur answer show be enter with the variable on the the left side of the inequality. ( i.e. x< 1000) In part I you will enter your boundry point. In part II you will enter L for less than and G for greater than.
5x + 4< 39
subtract 4 from both sides, the inequality sign stays the same
divide both sides by 5, the inequality sign stays the same
To solve the inequality 5x + 4 < 39, we need to isolate the variable, x, on one side of the inequality.
Part I: Finding the boundary point
To find the boundary point, we need to solve the equation 5x + 4 = 39.
Subtract 4 from both sides of the equation:
5x = 39 - 4
5x = 35
Divide both sides of the equation by 5:
x = 35/5
x = 7
So the boundary point is x = 7.
Part II: Determining the inequality symbol
Since we want the answer to show the variable on the left side of the inequality, we compare the variable, x, to the boundary point, which is 7.
Looking at the original inequality, 5x + 4 < 39, we see that we want values of x that are less than the boundary point (7). Therefore, we use the "less than" symbol, which is denoted by "<".
Combining the information, the solution to the inequality 5x + 4 < 39 is x < 7.