To solve these kinds of problems, it is necessary to isolate x:
9(2x + 1) <span>< 9x - 18
Distribute 9:
18x + 9 </span><span>< 9x - 18
Subtracting 9 from both sides of the equation:
18x + 9 - 9 </span><span>< 9x - 18 - 9
18x </span><span>< 9x - 27
Subtracting 9x from both sides of the equation:
18x - 9x </span><span>< 9x - 27 - 9x
9x </span><span>< -27
x </span><span>< -3
Therefore, values of x </span><span>< -3 will satisfy the given equation.</span>
Answer:
(-5, 0)
(-1, 0)
Step-by-step explanation:
x-intercepts are points where the graph intersects the x-axis (or when y = 0)
Step 1: Write out function
f(x) = x² + 6x + 5
Step 2: Factor
f(x) = (x + 5)(x + 1)
Step 3: Find binomial roots
x + 5 = 0
x = -5
x + 1 = 0
x = -1
Alternatively, you can graph the function and analyze the graph for x-intercepts:
(6x + 8) / (4x + 4)
(3x +4) 2(x 1)
2(3x + 4) 4(x +1)
How can I send you the drawn representation on number line ?
25)
z + 4 >= 2z
-z >= -4
z <= 4 (you flip the sign when you divide over negative number)
on number line: from 4 to -infinity
you use normal arithmetic like equations
29)
-9 + 2a < 3a
-9 < a (just one step done)
on number line from -9 to infinity
41 and 43 ? not in the page
