To solve for x, we need to isolate x in the inequality.
Starting with 58 ≥ 5x + 3, we subtract 3 from both sides:
58 - 3 ≥ 5x
55 ≥ 5x
Now, divide both sides by 5:
55/5 ≥ x
11 ≥ x
So, x ≤ 11.
Next, we have the inequality -42:
-42 ≤ 5x + 3
Subtract 3 from both sides:
-42 - 3 ≤ 5x
-45 ≤ 5x
Divide both sides by 5 (keeping in mind the sign change for dividing by a negative number):
-45/5 ≥ x
-9 ≥ x
So, x ≤ -9.
Combining the two solutions, we have:
x ≤ -9 or x ≤ 11.
Graphically, this can be represented on the number line as follows:
<------[------------][-------)------>
-9 11
olve for x and graph the solution on the number line below.
58≥5x+3>
−42
1 answer