What is 7<= 2(3-x)<= 9 ?

The solution to 7<= 2(3-x)<= 9 is -3/2 <= x<=-1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

7<= 2(3-x)<= 9

7 \leq 2 (3 - x) \leq 9

- \frac{3}{2} \leq x \leq - \frac{1}{2}

Interval Notation

[- \frac{3}{2}, - \frac{1}{2}]

Decimal Notation

- 1.5 \leq x \leq - 0.5

Solution steps

7 \leq 2 (3 - x) \leq 9

a \leq u \leq b

then

a \leq u and u \leq b

7 \leq 2 (3 - x) and 2 (3 - x) \leq 9

7 \leq 2 (3 - x) : x \leq - \frac{1}{2}

2 (3 - x) \leq 9 : x \geq - \frac{3}{2}

Combine the intervals

x \leq - \frac{1}{2} and x \geq - \frac{3}{2}

Merge Overlapping Intervals

- \frac{3}{2} \leq x \leq - \frac{1}{2}

4 h + 8 + 7 h - 2 h = 89

x + 4 = - x - 4

4 x - 7 = 22 + x

- \frac{4}{2}