Question

Тенсыздыкты шешындер. 1) 7 <2х+3 <11 2) -3 <1+2х <7 отинем комектесынызшы.

Answer 1

Тесындыкты бедэ жекельбырэ уж балэ пшш пшш

Answer 2

Solving the Inequalities

To solve the given inequalities, let's start by solving each one separately.

1) 7 < 2x + 3 < 11 2) -3 < 1 + 2x < 7

Solving the First Inequality

For the first inequality, 7 < 2x + 3 < 11, we can start by isolating the variable x.

Subtracting 3 from all parts of the inequality gives: 4 < 2x < 8

Now, dividing all parts by 2, we get: 2 < x < 4

So, the solution to the first inequality is 2 < x < 4.

Solving the Second Inequality

Moving on to the second inequality, -3 < 1 + 2x < 7, we'll follow a similar process.

Subtracting 1 from all parts of the inequality gives: -4 < 2x < 6

Dividing all parts by 2, we get: -2 < x < 3

Therefore, the solution to the second inequality is -2 < x < 3.

Combining the Solutions

Now, let's consider the combined solution for both inequalities. Since we have two separate solutions for x, we need to find the intersection of these solutions.

The intersection of 2 < x < 4 and -2 < x < 3 is 2 < x < 3.

So, the combined solution for both inequalities is 2 < x < 3.

Therefore, the value of x that satisfies both inequalities is 2 < x < 3.