3. 9x + 4 > 22
i.e. 9x > 22 - 4
i.e. 9x > 18
i.e. x > 18/9
i.e. x > 2
So the answer in interval notation is (2, ∞)
.
.
4. -5 < -2x + 1 < 13
i.e. -5 - 1 < -2x < 13 - 1
i.e. -6 < -2x < 12
i.e. -12 < 2x < 6
i.e. -12/2 < x < 6/2
i.e. -6 < x < 3
So the solution in interval notation is (-6, 3)
Solve for the variable and place the final answer in interval notation. 3. 9x+4>22 4 ....
3) Solve the following inequality. Express the solution using interval notation. 2x +1 <0 Answer
a)
b)
c)
d)
The interval notation (-3, 1) described in set builder notation is {* | -3 5xs1} {x-3<x<1) {x-35x<1} {x|-3<x51} The set-builder notation {xl-55x<8} is equivalent to (-5,8) O(-5, 8] O [-5,8) O [-5, 8] To solve 2x - 11<3, one must consider only one case two different cases three different cases O four different cases If f(x) = 3x2 and g(x) = x + 2, then (gf)(x) is 3x2 + 2 3x3 + 6x2 03x2 + x...
In Problems 13–36, solve each equation on the interval 0 … u 6
2p.
solve each equation on the interval 0 = 0 < 27. 36. com 36. cos| )
Question 6 Solve: (write solution set in interval notation) x-1 x-2 x-x-2 a) <1 b) > 0 X-5
Need help solving a natural log inequality problem
6. Solve the inequality and write your answer using correct interval notation: In(x-V5)> In(4x) – In (x + V5
Please show all steps to solve part A.
A) Solve and convert the solution to interval notation. Show
work.
0 2 -9
Solve the inequalities. Write the solution sets in interval notation if possible. 6 (a) <o y +1 6 (b) <0 y +1 (c) 20 y+1 (d) >0 y +1
Solve using sign analysis. State your answer in interval notation. x(x-1) <0 X-2
Solve the following inequality 4x-4 <3 x+3 What is the solution? (Type your answer in interval notation. Simplify your answer
The 2 guesses are incorrect. Please help to solve correct
answer
0.24, calculate the following: If X follows Bernoulli distribution B, p > 0.5 and V(X) .48 .48 ELX] 48