1.simplify this expression 4p+9+(-7p)+2=?

a.3p+11
b.3p+7
{c.-3p+11}
d.11p+11

2.solve this equation 4y+228=352
a.y=-31
{b.y=31}
c.y=145
d.y=3

3.solve this inequality 3p-16<20
a. p<1/3
b. p<1 1/3
c. p<12
d. p<-12

4.solve this inequality 3b-7<32
a. b<5
b. b<8.33
c. b<39
d. b<13

1. 4p + 9 -7p + 2

-3p + 11
Ok
2. 4y + 228 = 352
4y = 124
y = 31
Ok
3. 3p-16 < 20
3p -16 +16 <20+16
3p < 36
p < 12
Ans. C

4. 3b -7 <32
3b < 39
b < 13
Ans. d

J/4-8 <4

Can you show me how to shove this problem? Please.

Solve the inequality.

y + 6 ≥ 9

1. To simplify the expression 4p + 9 + (-7p) + 2, we can combine like terms. Like terms are expressions that have the same variable(s) raised to the same powers. In this case, the like terms are 4p and -7p.

First, add the coefficients of the like terms: 4p + (-7p) = -3p.

Then, combine the constants: 9 + 2 = 11.

So the simplified expression is -3p + 11.

Therefore, the correct answer is c. -3p + 11.

2. To solve the equation 4y + 228 = 352, we want to isolate the variable y on one side of the equation.

First, subtract 228 from both sides of the equation: 4y + 228 - 228 = 352 - 228.
This simplifies to 4y = 124.

Next, divide both sides of the equation by 4 to solve for y: (4y)/4 = 124/4.
This simplifies to y = 31.

So the solution to the equation is y = 31.

Therefore, the correct answer is b. y = 31.

3. To solve the inequality 3p - 16 < 20, we want to isolate the variable p on one side of the inequality.

First, add 16 to both sides of the inequality: 3p - 16 + 16 < 20 + 16.
This simplifies to 3p < 36.

Next, divide both sides of the inequality by 3 to solve for p: (3p)/3 < 36/3.
This simplifies to p < 12.

So the solution to the inequality is p < 12.

Therefore, the correct answer is c. p < 12.

4. To solve the inequality 3b - 7 < 32, we want to isolate the variable b on one side of the inequality.

First, add 7 to both sides of the inequality: 3b - 7 + 7 < 32 + 7.
This simplifies to 3b < 39.

Next, divide both sides of the inequality by 3 to solve for b: (3b)/3 < 39/3.
This simplifies to b < 13.

So the solution to the inequality is b < 13.

Therefore, the correct answer is d. b < 13.